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Finding the Third Proportional to 420,940 and 748,382

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Solution

The third proportional to 420,940 and 748,382 is: 1,330,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,940 : 748,382 = 748,382 : x
  2. Step 2: Convert to fraction form
    420,940/748,382 = 748,382/x
  3. Step 3: Cross multiply
    420,940x = 748,382 × 748,382
  4. Step 4: Simplify right side
    420,940x = 560,075,617,924
  5. Step 5: Solve for x
    x = 560,075,617,924/420,940
  6. Step 6: Final answer
    x = 1,330,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.