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Finding the Third Proportional to 78,000 and 125,604

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Solution

The third proportional to 78,000 and 125,604 is: 202,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 125,604 = 125,604 : x
  2. Step 2: Convert to fraction form
    78,000/125,604 = 125,604/x
  3. Step 3: Cross multiply
    78,000x = 125,604 × 125,604
  4. Step 4: Simplify right side
    78,000x = 15,776,364,816
  5. Step 5: Solve for x
    x = 15,776,364,816/78,000
  6. Step 6: Final answer
    x = 202,261.09

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.