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Finding the Third Proportional to 282,732.75 and 426,708

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Solution

The third proportional to 282,732.75 and 426,708 is: 643,999.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,732.75 : 426,708 = 426,708 : x
  2. Step 2: Convert to fraction form
    282,732.75/426,708 = 426,708/x
  3. Step 3: Cross multiply
    282,732.75x = 426,708 × 426,708
  4. Step 4: Simplify right side
    282,732.75x = 182,079,717,264
  5. Step 5: Solve for x
    x = 182,079,717,264/282,732.75
  6. Step 6: Final answer
    x = 643,999.39

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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.