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Finding the Third Proportional to 172,853 and 282,251.50

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Solution

The third proportional to 172,853 and 282,251.50 is: 460,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,853 : 282,251.50 = 282,251.50 : x
  2. Step 2: Convert to fraction form
    172,853/282,251.50 = 282,251.50/x
  3. Step 3: Cross multiply
    172,853x = 282,251.50 × 282,251.50
  4. Step 4: Simplify right side
    172,853x = 79,665,909,252.25
  5. Step 5: Solve for x
    x = 79,665,909,252.25/172,853
  6. Step 6: Final answer
    x = 460,888.21

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.