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Finding the Third Proportional to 149,467.78 and 249,112.97

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Solution

The third proportional to 149,467.78 and 249,112.97 is: 415,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,467.78 : 249,112.97 = 249,112.97 : x
  2. Step 2: Convert to fraction form
    149,467.78/249,112.97 = 249,112.97/x
  3. Step 3: Cross multiply
    149,467.78x = 249,112.97 × 249,112.97
  4. Step 4: Simplify right side
    149,467.78x = 62,057,271,199.44
  5. Step 5: Solve for x
    x = 62,057,271,199.44/149,467.78
  6. Step 6: Final answer
    x = 415,188.28

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.