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Finding the Third Proportional to 323,628 and 688,080

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Solution

The third proportional to 323,628 and 688,080 is: 1,462,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,628 : 688,080 = 688,080 : x
  2. Step 2: Convert to fraction form
    323,628/688,080 = 688,080/x
  3. Step 3: Cross multiply
    323,628x = 688,080 × 688,080
  4. Step 4: Simplify right side
    323,628x = 473,454,086,400
  5. Step 5: Solve for x
    x = 473,454,086,400/323,628
  6. Step 6: Final answer
    x = 1,462,957.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.