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Finding the Third Proportional to 78,117 and 161,769

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Solution

The third proportional to 78,117 and 161,769 is: 335,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,117 : 161,769 = 161,769 : x
  2. Step 2: Convert to fraction form
    78,117/161,769 = 161,769/x
  3. Step 3: Cross multiply
    78,117x = 161,769 × 161,769
  4. Step 4: Simplify right side
    78,117x = 26,169,209,361
  5. Step 5: Solve for x
    x = 26,169,209,361/78,117
  6. Step 6: Final answer
    x = 335,000.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.