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Finding the Third Proportional to 389,566.13 and 830,800.13

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Solution

The third proportional to 389,566.13 and 830,800.13 is: 1,771,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,566.13 : 830,800.13 = 830,800.13 : x
  2. Step 2: Convert to fraction form
    389,566.13/830,800.13 = 830,800.13/x
  3. Step 3: Cross multiply
    389,566.13x = 830,800.13 × 830,800.13
  4. Step 4: Simplify right side
    389,566.13x = 690,228,847,700.02
  5. Step 5: Solve for x
    x = 690,228,847,700.02/389,566.13
  6. Step 6: Final answer
    x = 1,771,788.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.