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Finding the Third Proportional to 323,759.25 and 686,971.13

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Solution

The third proportional to 323,759.25 and 686,971.13 is: 1,457,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,759.25 : 686,971.13 = 686,971.13 : x
  2. Step 2: Convert to fraction form
    323,759.25/686,971.13 = 686,971.13/x
  3. Step 3: Cross multiply
    323,759.25x = 686,971.13 × 686,971.13
  4. Step 4: Simplify right side
    323,759.25x = 471,929,326,583.77
  5. Step 5: Solve for x
    x = 471,929,326,583.77/323,759.25
  6. Step 6: Final answer
    x = 1,457,655.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.