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Finding the Third Proportional to 342,021 and 748,320

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Solution

The third proportional to 342,021 and 748,320 is: 1,637,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,021 : 748,320 = 748,320 : x
  2. Step 2: Convert to fraction form
    342,021/748,320 = 748,320/x
  3. Step 3: Cross multiply
    342,021x = 748,320 × 748,320
  4. Step 4: Simplify right side
    342,021x = 559,982,822,400
  5. Step 5: Solve for x
    x = 559,982,822,400/342,021
  6. Step 6: Final answer
    x = 1,637,276.14

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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.