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Finding the Third Proportional to 249,684.75 and 391,261.50

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Solution

The third proportional to 249,684.75 and 391,261.50 is: 613,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,684.75 : 391,261.50 = 391,261.50 : x
  2. Step 2: Convert to fraction form
    249,684.75/391,261.50 = 391,261.50/x
  3. Step 3: Cross multiply
    249,684.75x = 391,261.50 × 391,261.50
  4. Step 4: Simplify right side
    249,684.75x = 153,085,561,382.25
  5. Step 5: Solve for x
    x = 153,085,561,382.25/249,684.75
  6. Step 6: Final answer
    x = 613,115.38

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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.