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Finding the Third Proportional to 124,760 and 202,711.50

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Solution

The third proportional to 124,760 and 202,711.50 is: 329,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,760 : 202,711.50 = 202,711.50 : x
  2. Step 2: Convert to fraction form
    124,760/202,711.50 = 202,711.50/x
  3. Step 3: Cross multiply
    124,760x = 202,711.50 × 202,711.50
  4. Step 4: Simplify right side
    124,760x = 41,091,952,232.25
  5. Step 5: Solve for x
    x = 41,091,952,232.25/124,760
  6. Step 6: Final answer
    x = 329,368.00

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.