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Finding the Third Proportional to 498,020 and 747,528

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Solution

The third proportional to 498,020 and 747,528 is: 1,122,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,020 : 747,528 = 747,528 : x
  2. Step 2: Convert to fraction form
    498,020/747,528 = 747,528/x
  3. Step 3: Cross multiply
    498,020x = 747,528 × 747,528
  4. Step 4: Simplify right side
    498,020x = 558,798,110,784
  5. Step 5: Solve for x
    x = 558,798,110,784/498,020
  6. Step 6: Final answer
    x = 1,122,039.50

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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.