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Finding the Third Proportional to 138,207.75 and 208,285.50

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Solution

The third proportional to 138,207.75 and 208,285.50 is: 313,895.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,207.75 : 208,285.50 = 208,285.50 : x
  2. Step 2: Convert to fraction form
    138,207.75/208,285.50 = 208,285.50/x
  3. Step 3: Cross multiply
    138,207.75x = 208,285.50 × 208,285.50
  4. Step 4: Simplify right side
    138,207.75x = 43,382,849,510.25
  5. Step 5: Solve for x
    x = 43,382,849,510.25/138,207.75
  6. Step 6: Final answer
    x = 313,895.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.