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Finding the Third Proportional to 71,402 and 106,887

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Solution

The third proportional to 71,402 and 106,887 is: 160,007.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,402 : 106,887 = 106,887 : x
  2. Step 2: Convert to fraction form
    71,402/106,887 = 106,887/x
  3. Step 3: Cross multiply
    71,402x = 106,887 × 106,887
  4. Step 4: Simplify right side
    71,402x = 11,424,830,769
  5. Step 5: Solve for x
    x = 11,424,830,769/71,402
  6. Step 6: Final answer
    x = 160,007.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.