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Finding the Third Proportional to 426,550 and 987,471

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Solution

The third proportional to 426,550 and 987,471 is: 2,286,013.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,550 : 987,471 = 987,471 : x
  2. Step 2: Convert to fraction form
    426,550/987,471 = 987,471/x
  3. Step 3: Cross multiply
    426,550x = 987,471 × 987,471
  4. Step 4: Simplify right side
    426,550x = 975,098,975,841
  5. Step 5: Solve for x
    x = 975,098,975,841/426,550
  6. Step 6: Final answer
    x = 2,286,013.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.