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Finding the Third Proportional to 78,784 and 125,280

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Solution

The third proportional to 78,784 and 125,280 is: 199,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,784 : 125,280 = 125,280 : x
  2. Step 2: Convert to fraction form
    78,784/125,280 = 125,280/x
  3. Step 3: Cross multiply
    78,784x = 125,280 × 125,280
  4. Step 4: Simplify right side
    78,784x = 15,695,078,400
  5. Step 5: Solve for x
    x = 15,695,078,400/78,784
  6. Step 6: Final answer
    x = 199,216.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.