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Finding the Third Proportional to 78,416 and 169,791

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Solution

The third proportional to 78,416 and 169,791 is: 367,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,416 : 169,791 = 169,791 : x
  2. Step 2: Convert to fraction form
    78,416/169,791 = 169,791/x
  3. Step 3: Cross multiply
    78,416x = 169,791 × 169,791
  4. Step 4: Simplify right side
    78,416x = 28,828,983,681
  5. Step 5: Solve for x
    x = 28,828,983,681/78,416
  6. Step 6: Final answer
    x = 367,641.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.