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Finding the Third Proportional to 329,136 and 715,872

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Solution

The third proportional to 329,136 and 715,872 is: 1,557,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,136 : 715,872 = 715,872 : x
  2. Step 2: Convert to fraction form
    329,136/715,872 = 715,872/x
  3. Step 3: Cross multiply
    329,136x = 715,872 × 715,872
  4. Step 4: Simplify right side
    329,136x = 512,472,720,384
  5. Step 5: Solve for x
    x = 512,472,720,384/329,136
  6. Step 6: Final answer
    x = 1,557,024.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.