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Finding the Third Proportional to 249,074 and 389,165

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Solution

The third proportional to 249,074 and 389,165 is: 608,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,074 : 389,165 = 389,165 : x
  2. Step 2: Convert to fraction form
    249,074/389,165 = 389,165/x
  3. Step 3: Cross multiply
    249,074x = 389,165 × 389,165
  4. Step 4: Simplify right side
    249,074x = 151,449,397,225
  5. Step 5: Solve for x
    x = 151,449,397,225/249,074
  6. Step 6: Final answer
    x = 608,049.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.