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Finding the Third Proportional to 323,584 and 709,376

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Solution

The third proportional to 323,584 and 709,376 is: 1,555,127.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,584 : 709,376 = 709,376 : x
  2. Step 2: Convert to fraction form
    323,584/709,376 = 709,376/x
  3. Step 3: Cross multiply
    323,584x = 709,376 × 709,376
  4. Step 4: Simplify right side
    323,584x = 503,214,309,376
  5. Step 5: Solve for x
    x = 503,214,309,376/323,584
  6. Step 6: Final answer
    x = 1,555,127.29

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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.