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Finding the Third Proportional to 72,407.25 and 151,431.47

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Solution

The third proportional to 72,407.25 and 151,431.47 is: 316,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,407.25 : 151,431.47 = 151,431.47 : x
  2. Step 2: Convert to fraction form
    72,407.25/151,431.47 = 151,431.47/x
  3. Step 3: Cross multiply
    72,407.25x = 151,431.47 × 151,431.47
  4. Step 4: Simplify right side
    72,407.25x = 22,931,489,727.78
  5. Step 5: Solve for x
    x = 22,931,489,727.78/72,407.25
  6. Step 6: Final answer
    x = 316,701.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.