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Finding the Third Proportional to 72,413 and 151,448

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Solution

The third proportional to 72,413 and 151,448 is: 316,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413 : 151,448 = 151,448 : x
  2. Step 2: Convert to fraction form
    72,413/151,448 = 151,448/x
  3. Step 3: Cross multiply
    72,413x = 151,448 × 151,448
  4. Step 4: Simplify right side
    72,413x = 22,936,496,704
  5. Step 5: Solve for x
    x = 22,936,496,704/72,413
  6. Step 6: Final answer
    x = 316,745.57

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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.