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Finding the Third Proportional to 337,010 and 520,448

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Solution

The third proportional to 337,010 and 520,448 is: 803,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,010 : 520,448 = 520,448 : x
  2. Step 2: Convert to fraction form
    337,010/520,448 = 520,448/x
  3. Step 3: Cross multiply
    337,010x = 520,448 × 520,448
  4. Step 4: Simplify right side
    337,010x = 270,866,120,704
  5. Step 5: Solve for x
    x = 270,866,120,704/337,010
  6. Step 6: Final answer
    x = 803,733.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.