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Finding the Third Proportional to 90,528 and 198,552

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Solution

The third proportional to 90,528 and 198,552 is: 435,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,528 : 198,552 = 198,552 : x
  2. Step 2: Convert to fraction form
    90,528/198,552 = 198,552/x
  3. Step 3: Cross multiply
    90,528x = 198,552 × 198,552
  4. Step 4: Simplify right side
    90,528x = 39,422,896,704
  5. Step 5: Solve for x
    x = 39,422,896,704/90,528
  6. Step 6: Final answer
    x = 435,477.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.