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Finding the Third Proportional to 348,427 and 738,721

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Solution

The third proportional to 348,427 and 738,721 is: 1,566,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,427 : 738,721 = 738,721 : x
  2. Step 2: Convert to fraction form
    348,427/738,721 = 738,721/x
  3. Step 3: Cross multiply
    348,427x = 738,721 × 738,721
  4. Step 4: Simplify right side
    348,427x = 545,708,715,841
  5. Step 5: Solve for x
    x = 545,708,715,841/348,427
  6. Step 6: Final answer
    x = 1,566,206.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.