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Finding the Third Proportional to 90,528 and 201,792

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Solution

The third proportional to 90,528 and 201,792 is: 449,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,528 : 201,792 = 201,792 : x
  2. Step 2: Convert to fraction form
    90,528/201,792 = 201,792/x
  3. Step 3: Cross multiply
    90,528x = 201,792 × 201,792
  4. Step 4: Simplify right side
    90,528x = 40,720,011,264
  5. Step 5: Solve for x
    x = 40,720,011,264/90,528
  6. Step 6: Final answer
    x = 449,805.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.