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Finding the Third Proportional to 52,560 and 78,850

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Solution

The third proportional to 52,560 and 78,850 is: 118,290.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,560 : 78,850 = 78,850 : x
  2. Step 2: Convert to fraction form
    52,560/78,850 = 78,850/x
  3. Step 3: Cross multiply
    52,560x = 78,850 × 78,850
  4. Step 4: Simplify right side
    52,560x = 6,217,322,500
  5. Step 5: Solve for x
    x = 6,217,322,500/52,560
  6. Step 6: Final answer
    x = 118,290.00

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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.