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Finding the Third Proportional to 286,891.88 and 442,680.19

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Solution

The third proportional to 286,891.88 and 442,680.19 is: 683,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,891.88 : 442,680.19 = 442,680.19 : x
  2. Step 2: Convert to fraction form
    286,891.88/442,680.19 = 442,680.19/x
  3. Step 3: Cross multiply
    286,891.88x = 442,680.19 × 442,680.19
  4. Step 4: Simplify right side
    286,891.88x = 195,965,748,405.04
  5. Step 5: Solve for x
    x = 195,965,748,405.04/286,891.88
  6. Step 6: Final answer
    x = 683,064.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.