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Finding the Third Proportional to 390,010,234,783 and 790,986,669,253

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Solution

The third proportional to 390,010,234,783 and 790,986,669,253 is: 1,604,214,082,443.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,010,234,783 : 790,986,669,253 = 790,986,669,253 : x
  2. Step 2: Convert to fraction form
    390,010,234,783/790,986,669,253 = 790,986,669,253/x
  3. Step 3: Cross multiply
    390,010,234,783x = 790,986,669,253 × 790,986,669,253
  4. Step 4: Simplify right side
    390,010,234,783x = 625,659,910,935,954,765,905,920
  5. Step 5: Solve for x
    x = 625,659,910,935,954,765,905,920/390,010,234,783
  6. Step 6: Final answer
    x = 1,604,214,082,443.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.