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Finding the Third Proportional to 491,978 and 720,471

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Solution

The third proportional to 491,978 and 720,471 is: 1,055,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,978 : 720,471 = 720,471 : x
  2. Step 2: Convert to fraction form
    491,978/720,471 = 720,471/x
  3. Step 3: Cross multiply
    491,978x = 720,471 × 720,471
  4. Step 4: Simplify right side
    491,978x = 519,078,461,841
  5. Step 5: Solve for x
    x = 519,078,461,841/491,978
  6. Step 6: Final answer
    x = 1,055,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.