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Finding the Third Proportional to 748,433 and 1,172,721

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Solution

The third proportional to 748,433 and 1,172,721 is: 1,837,538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,433 : 1,172,721 = 1,172,721 : x
  2. Step 2: Convert to fraction form
    748,433/1,172,721 = 1,172,721/x
  3. Step 3: Cross multiply
    748,433x = 1,172,721 × 1,172,721
  4. Step 4: Simplify right side
    748,433x = 1,375,274,543,841
  5. Step 5: Solve for x
    x = 1,375,274,543,841/748,433
  6. Step 6: Final answer
    x = 1,837,538.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.