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Finding the Third Proportional to 748,431 and 1,172,718

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Solution

The third proportional to 748,431 and 1,172,718 is: 1,837,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,431 : 1,172,718 = 1,172,718 : x
  2. Step 2: Convert to fraction form
    748,431/1,172,718 = 1,172,718/x
  3. Step 3: Cross multiply
    748,431x = 1,172,718 × 1,172,718
  4. Step 4: Simplify right side
    748,431x = 1,375,267,507,524
  5. Step 5: Solve for x
    x = 1,375,267,507,524/748,431
  6. Step 6: Final answer
    x = 1,837,534.13

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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.