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Finding the Third Proportional to 153,603.56 and 324,730.13

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Solution

The third proportional to 153,603.56 and 324,730.13 is: 686,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,603.56 : 324,730.13 = 324,730.13 : x
  2. Step 2: Convert to fraction form
    153,603.56/324,730.13 = 324,730.13/x
  3. Step 3: Cross multiply
    153,603.56x = 324,730.13 × 324,730.13
  4. Step 4: Simplify right side
    153,603.56x = 105,449,654,082.52
  5. Step 5: Solve for x
    x = 105,449,654,082.52/153,603.56
  6. Step 6: Final answer
    x = 686,505.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.