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Finding the Third Proportional to 292,818 and 397,755

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Solution

The third proportional to 292,818 and 397,755 is: 540,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,818 : 397,755 = 397,755 : x
  2. Step 2: Convert to fraction form
    292,818/397,755 = 397,755/x
  3. Step 3: Cross multiply
    292,818x = 397,755 × 397,755
  4. Step 4: Simplify right side
    292,818x = 158,209,040,025
  5. Step 5: Solve for x
    x = 158,209,040,025/292,818
  6. Step 6: Final answer
    x = 540,298.21

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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.