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Finding the Third Proportional to 249,224 and 391,692

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Solution

The third proportional to 249,224 and 391,692 is: 615,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,224 : 391,692 = 391,692 : x
  2. Step 2: Convert to fraction form
    249,224/391,692 = 391,692/x
  3. Step 3: Cross multiply
    249,224x = 391,692 × 391,692
  4. Step 4: Simplify right side
    249,224x = 153,422,622,864
  5. Step 5: Solve for x
    x = 153,422,622,864/249,224
  6. Step 6: Final answer
    x = 615,601.32

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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.