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Finding the Third Proportional to 133,012.13 and 195,630.19

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Solution

The third proportional to 133,012.13 and 195,630.19 is: 287,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,012.13 : 195,630.19 = 195,630.19 : x
  2. Step 2: Convert to fraction form
    133,012.13/195,630.19 = 195,630.19/x
  3. Step 3: Cross multiply
    133,012.13x = 195,630.19 × 195,630.19
  4. Step 4: Simplify right side
    133,012.13x = 38,271,170,261.29
  5. Step 5: Solve for x
    x = 38,271,170,261.29/133,012.13
  6. Step 6: Final answer
    x = 287,726.93

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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.