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Finding the Third Proportional to 249,216 and 391,680

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Solution

The third proportional to 249,216 and 391,680 is: 615,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,216 : 391,680 = 391,680 : x
  2. Step 2: Convert to fraction form
    249,216/391,680 = 391,680/x
  3. Step 3: Cross multiply
    249,216x = 391,680 × 391,680
  4. Step 4: Simplify right side
    249,216x = 153,413,222,400
  5. Step 5: Solve for x
    x = 153,413,222,400/249,216
  6. Step 6: Final answer
    x = 615,583.36

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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.