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Finding the Third Proportional to 129,484.50 and 282,985.13

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Solution

The third proportional to 129,484.50 and 282,985.13 is: 618,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,484.50 : 282,985.13 = 282,985.13 : x
  2. Step 2: Convert to fraction form
    129,484.50/282,985.13 = 282,985.13/x
  3. Step 3: Cross multiply
    129,484.50x = 282,985.13 × 282,985.13
  4. Step 4: Simplify right side
    129,484.50x = 80,080,580,971.27
  5. Step 5: Solve for x
    x = 80,080,580,971.27/129,484.50
  6. Step 6: Final answer
    x = 618,456.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.