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Finding the Third Proportional to 72,416 and 151,455

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Solution

The third proportional to 72,416 and 151,455 is: 316,761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,416 : 151,455 = 151,455 : x
  2. Step 2: Convert to fraction form
    72,416/151,455 = 151,455/x
  3. Step 3: Cross multiply
    72,416x = 151,455 × 151,455
  4. Step 4: Simplify right side
    72,416x = 22,938,617,025
  5. Step 5: Solve for x
    x = 22,938,617,025/72,416
  6. Step 6: Final answer
    x = 316,761.72

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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.