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Finding the Third Proportional to 77,702 and 116,769

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Solution

The third proportional to 77,702 and 116,769 is: 175,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,702 : 116,769 = 116,769 : x
  2. Step 2: Convert to fraction form
    77,702/116,769 = 116,769/x
  3. Step 3: Cross multiply
    77,702x = 116,769 × 116,769
  4. Step 4: Simplify right side
    77,702x = 13,634,999,361
  5. Step 5: Solve for x
    x = 13,634,999,361/77,702
  6. Step 6: Final answer
    x = 175,478.10

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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.