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Finding the Third Proportional to 124,132.50 and 196,651.13

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Solution

The third proportional to 124,132.50 and 196,651.13 is: 311,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,132.50 : 196,651.13 = 196,651.13 : x
  2. Step 2: Convert to fraction form
    124,132.50/196,651.13 = 196,651.13/x
  3. Step 3: Cross multiply
    124,132.50x = 196,651.13 × 196,651.13
  4. Step 4: Simplify right side
    124,132.50x = 38,671,664,963.77
  5. Step 5: Solve for x
    x = 38,671,664,963.77/124,132.50
  6. Step 6: Final answer
    x = 311,535.38

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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.