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Finding the Third Proportional to 60,420 and 129,583.50

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Solution

The third proportional to 60,420 and 129,583.50 is: 277,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,420 : 129,583.50 = 129,583.50 : x
  2. Step 2: Convert to fraction form
    60,420/129,583.50 = 129,583.50/x
  3. Step 3: Cross multiply
    60,420x = 129,583.50 × 129,583.50
  4. Step 4: Simplify right side
    60,420x = 16,791,883,472.25
  5. Step 5: Solve for x
    x = 16,791,883,472.25/60,420
  6. Step 6: Final answer
    x = 277,919.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.