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Finding the Third Proportional to 348,540 and 762,688

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Solution

The third proportional to 348,540 and 762,688 is: 1,668,941.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,540 : 762,688 = 762,688 : x
  2. Step 2: Convert to fraction form
    348,540/762,688 = 762,688/x
  3. Step 3: Cross multiply
    348,540x = 762,688 × 762,688
  4. Step 4: Simplify right side
    348,540x = 581,692,985,344
  5. Step 5: Solve for x
    x = 581,692,985,344/348,540
  6. Step 6: Final answer
    x = 1,668,941.83

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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.