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Finding the Third Proportional to 72,991.13 and 147,987

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Solution

The third proportional to 72,991.13 and 147,987 is: 300,038.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,991.13 : 147,987 = 147,987 : x
  2. Step 2: Convert to fraction form
    72,991.13/147,987 = 147,987/x
  3. Step 3: Cross multiply
    72,991.13x = 147,987 × 147,987
  4. Step 4: Simplify right side
    72,991.13x = 21,900,152,169
  5. Step 5: Solve for x
    x = 21,900,152,169/72,991.13
  6. Step 6: Final answer
    x = 300,038.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.