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Finding the Third Proportional to 431,739 and 916,092

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Solution

The third proportional to 431,739 and 916,092 is: 1,943,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,739 : 916,092 = 916,092 : x
  2. Step 2: Convert to fraction form
    431,739/916,092 = 916,092/x
  3. Step 3: Cross multiply
    431,739x = 916,092 × 916,092
  4. Step 4: Simplify right side
    431,739x = 839,224,552,464
  5. Step 5: Solve for x
    x = 839,224,552,464/431,739
  6. Step 6: Final answer
    x = 1,943,823.82

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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.