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Finding the Third Proportional to 249,120 and 391,536

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Solution

The third proportional to 249,120 and 391,536 is: 615,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,120 : 391,536 = 391,536 : x
  2. Step 2: Convert to fraction form
    249,120/391,536 = 391,536/x
  3. Step 3: Cross multiply
    249,120x = 391,536 × 391,536
  4. Step 4: Simplify right side
    249,120x = 153,300,439,296
  5. Step 5: Solve for x
    x = 153,300,439,296/249,120
  6. Step 6: Final answer
    x = 615,367.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.