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Finding the Third Proportional to 153,910.13 and 216,171.28

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Solution

The third proportional to 153,910.13 and 216,171.28 is: 303,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,910.13 : 216,171.28 = 216,171.28 : x
  2. Step 2: Convert to fraction form
    153,910.13/216,171.28 = 216,171.28/x
  3. Step 3: Cross multiply
    153,910.13x = 216,171.28 × 216,171.28
  4. Step 4: Simplify right side
    153,910.13x = 46,730,022,837.27
  5. Step 5: Solve for x
    x = 46,730,022,837.27/153,910.13
  6. Step 6: Final answer
    x = 303,618.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.