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Finding the Third Proportional to 431,787 and 677,262

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Solution

The third proportional to 431,787 and 677,262 is: 1,062,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,787 : 677,262 = 677,262 : x
  2. Step 2: Convert to fraction form
    431,787/677,262 = 677,262/x
  3. Step 3: Cross multiply
    431,787x = 677,262 × 677,262
  4. Step 4: Simplify right side
    431,787x = 458,683,816,644
  5. Step 5: Solve for x
    x = 458,683,816,644/431,787
  6. Step 6: Final answer
    x = 1,062,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.