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Finding the Third Proportional to 52,448 and 78,656

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Solution

The third proportional to 52,448 and 78,656 is: 117,960.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,448 : 78,656 = 78,656 : x
  2. Step 2: Convert to fraction form
    52,448/78,656 = 78,656/x
  3. Step 3: Cross multiply
    52,448x = 78,656 × 78,656
  4. Step 4: Simplify right side
    52,448x = 6,186,766,336
  5. Step 5: Solve for x
    x = 6,186,766,336/52,448
  6. Step 6: Final answer
    x = 117,960.00

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