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Finding the Third Proportional to 198,528 and 424,758

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Solution

The third proportional to 198,528 and 424,758 is: 908,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,528 : 424,758 = 424,758 : x
  2. Step 2: Convert to fraction form
    198,528/424,758 = 424,758/x
  3. Step 3: Cross multiply
    198,528x = 424,758 × 424,758
  4. Step 4: Simplify right side
    198,528x = 180,419,358,564
  5. Step 5: Solve for x
    x = 180,419,358,564/198,528
  6. Step 6: Final answer
    x = 908,785.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.