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Finding the Third Proportional to 153,802 and 216,489

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Solution

The third proportional to 153,802 and 216,489 is: 304,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,802 : 216,489 = 216,489 : x
  2. Step 2: Convert to fraction form
    153,802/216,489 = 216,489/x
  3. Step 3: Cross multiply
    153,802x = 216,489 × 216,489
  4. Step 4: Simplify right side
    153,802x = 46,867,487,121
  5. Step 5: Solve for x
    x = 46,867,487,121/153,802
  6. Step 6: Final answer
    x = 304,726.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.