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Finding the Third Proportional to 680,221.31 and 983,310.38

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Solution

The third proportional to 680,221.31 and 983,310.38 is: 1,421,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,221.31 : 983,310.38 = 983,310.38 : x
  2. Step 2: Convert to fraction form
    680,221.31/983,310.38 = 983,310.38/x
  3. Step 3: Cross multiply
    680,221.31x = 983,310.38 × 983,310.38
  4. Step 4: Simplify right side
    680,221.31x = 966,899,293,582.64
  5. Step 5: Solve for x
    x = 966,899,293,582.64/680,221.31
  6. Step 6: Final answer
    x = 1,421,448.10

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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.