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Finding the Third Proportional to 134,907.50 and 197,987

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Solution

The third proportional to 134,907.50 and 197,987 is: 290,560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,907.50 : 197,987 = 197,987 : x
  2. Step 2: Convert to fraction form
    134,907.50/197,987 = 197,987/x
  3. Step 3: Cross multiply
    134,907.50x = 197,987 × 197,987
  4. Step 4: Simplify right side
    134,907.50x = 39,198,852,169
  5. Step 5: Solve for x
    x = 39,198,852,169/134,907.50
  6. Step 6: Final answer
    x = 290,560.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.