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Finding the Third Proportional to 77,319 and 119,720

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Solution

The third proportional to 77,319 and 119,720 is: 185,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,319 : 119,720 = 119,720 : x
  2. Step 2: Convert to fraction form
    77,319/119,720 = 119,720/x
  3. Step 3: Cross multiply
    77,319x = 119,720 × 119,720
  4. Step 4: Simplify right side
    77,319x = 14,332,878,400
  5. Step 5: Solve for x
    x = 14,332,878,400/77,319
  6. Step 6: Final answer
    x = 185,373.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.