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Finding the Third Proportional to 249,385 and 386,942.75

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Solution

The third proportional to 249,385 and 386,942.75 is: 600,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,385 : 386,942.75 = 386,942.75 : x
  2. Step 2: Convert to fraction form
    249,385/386,942.75 = 386,942.75/x
  3. Step 3: Cross multiply
    249,385x = 386,942.75 × 386,942.75
  4. Step 4: Simplify right side
    249,385x = 149,724,691,777.56
  5. Step 5: Solve for x
    x = 149,724,691,777.56/249,385
  6. Step 6: Final answer
    x = 600,375.69

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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.