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Finding the Third Proportional to 680,221.69 and 983,310.75

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Solution

The third proportional to 680,221.69 and 983,310.75 is: 1,421,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,221.69 : 983,310.75 = 983,310.75 : x
  2. Step 2: Convert to fraction form
    680,221.69/983,310.75 = 983,310.75/x
  3. Step 3: Cross multiply
    680,221.69x = 983,310.75 × 983,310.75
  4. Step 4: Simplify right side
    680,221.69x = 966,900,031,065.56
  5. Step 5: Solve for x
    x = 966,900,031,065.56/680,221.69
  6. Step 6: Final answer
    x = 1,421,448.40

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.