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Finding the Third Proportional to 401,560.88 and 621,781.31

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Solution

The third proportional to 401,560.88 and 621,781.31 is: 962,773.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,560.88 : 621,781.31 = 621,781.31 : x
  2. Step 2: Convert to fraction form
    401,560.88/621,781.31 = 621,781.31/x
  3. Step 3: Cross multiply
    401,560.88x = 621,781.31 × 621,781.31
  4. Step 4: Simplify right side
    401,560.88x = 386,612,000,574.22
  5. Step 5: Solve for x
    x = 386,612,000,574.22/401,560.88
  6. Step 6: Final answer
    x = 962,773.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.