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Finding the Third Proportional to 418,489.50 and 891,729

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Solution

The third proportional to 418,489.50 and 891,729 is: 1,900,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,489.50 : 891,729 = 891,729 : x
  2. Step 2: Convert to fraction form
    418,489.50/891,729 = 891,729/x
  3. Step 3: Cross multiply
    418,489.50x = 891,729 × 891,729
  4. Step 4: Simplify right side
    418,489.50x = 795,180,609,441
  5. Step 5: Solve for x
    x = 795,180,609,441/418,489.50
  6. Step 6: Final answer
    x = 1,900,120.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.