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Finding the Third Proportional to 72,417 and 151,755

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Solution

The third proportional to 72,417 and 151,755 is: 318,013.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,417 : 151,755 = 151,755 : x
  2. Step 2: Convert to fraction form
    72,417/151,755 = 151,755/x
  3. Step 3: Cross multiply
    72,417x = 151,755 × 151,755
  4. Step 4: Simplify right side
    72,417x = 23,029,580,025
  5. Step 5: Solve for x
    x = 23,029,580,025/72,417
  6. Step 6: Final answer
    x = 318,013.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.