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Finding the Third Proportional to 285,354.75 and 442,459.13

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Solution

The third proportional to 285,354.75 and 442,459.13 is: 686,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354.75 : 442,459.13 = 442,459.13 : x
  2. Step 2: Convert to fraction form
    285,354.75/442,459.13 = 442,459.13/x
  3. Step 3: Cross multiply
    285,354.75x = 442,459.13 × 442,459.13
  4. Step 4: Simplify right side
    285,354.75x = 195,770,077,295.77
  5. Step 5: Solve for x
    x = 195,770,077,295.77/285,354.75
  6. Step 6: Final answer
    x = 686,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.