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Finding the Third Proportional to 249,135.75 and 386,506.69

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Solution

The third proportional to 249,135.75 and 386,506.69 is: 599,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,135.75 : 386,506.69 = 386,506.69 : x
  2. Step 2: Convert to fraction form
    249,135.75/386,506.69 = 386,506.69/x
  3. Step 3: Cross multiply
    249,135.75x = 386,506.69 × 386,506.69
  4. Step 4: Simplify right side
    249,135.75x = 149,387,419,482.22
  5. Step 5: Solve for x
    x = 149,387,419,482.22/249,135.75
  6. Step 6: Final answer
    x = 599,622.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.