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Finding the Third Proportional to 323,439.33 and 709,157.53

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Solution

The third proportional to 323,439.33 and 709,157.53 is: 1,554,864.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,439.33 : 709,157.53 = 709,157.53 : x
  2. Step 2: Convert to fraction form
    323,439.33/709,157.53 = 709,157.53/x
  3. Step 3: Cross multiply
    323,439.33x = 709,157.53 × 709,157.53
  4. Step 4: Simplify right side
    323,439.33x = 502,904,404,128.60
  5. Step 5: Solve for x
    x = 502,904,404,128.60/323,439.33
  6. Step 6: Final answer
    x = 1,554,864.73

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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.