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Finding the Third Proportional to 78,981 and 125,041.50

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Solution

The third proportional to 78,981 and 125,041.50 is: 197,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,981 : 125,041.50 = 125,041.50 : x
  2. Step 2: Convert to fraction form
    78,981/125,041.50 = 125,041.50/x
  3. Step 3: Cross multiply
    78,981x = 125,041.50 × 125,041.50
  4. Step 4: Simplify right side
    78,981x = 15,635,376,722.25
  5. Step 5: Solve for x
    x = 15,635,376,722.25/78,981
  6. Step 6: Final answer
    x = 197,963.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.