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Finding the Third Proportional to 292,810 and 397,743

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Solution

The third proportional to 292,810 and 397,743 is: 540,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,810 : 397,743 = 397,743 : x
  2. Step 2: Convert to fraction form
    292,810/397,743 = 397,743/x
  3. Step 3: Cross multiply
    292,810x = 397,743 × 397,743
  4. Step 4: Simplify right side
    292,810x = 158,199,494,049
  5. Step 5: Solve for x
    x = 158,199,494,049/292,810
  6. Step 6: Final answer
    x = 540,280.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.