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Finding the Third Proportional to 85,432,930 and 186,390,449

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Solution

The third proportional to 85,432,930 and 186,390,449 is: 406,651,152.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432,930 : 186,390,449 = 186,390,449 : x
  2. Step 2: Convert to fraction form
    85,432,930/186,390,449 = 186,390,449/x
  3. Step 3: Cross multiply
    85,432,930x = 186,390,449 × 186,390,449
  4. Step 4: Simplify right side
    85,432,930x = 34,741,399,478,421,600
  5. Step 5: Solve for x
    x = 34,741,399,478,421,600/85,432,930
  6. Step 6: Final answer
    x = 406,651,152.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.