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Finding the Third Proportional to 439,890.75 and 657,892.13

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Solution

The third proportional to 439,890.75 and 657,892.13 is: 983,930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,890.75 : 657,892.13 = 657,892.13 : x
  2. Step 2: Convert to fraction form
    439,890.75/657,892.13 = 657,892.13/x
  3. Step 3: Cross multiply
    439,890.75x = 657,892.13 × 657,892.13
  4. Step 4: Simplify right side
    439,890.75x = 432,822,048,137.02
  5. Step 5: Solve for x
    x = 432,822,048,137.02/439,890.75
  6. Step 6: Final answer
    x = 983,930.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.