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Finding the Third Proportional to 72,129.75 and 157,543.50

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Solution

The third proportional to 72,129.75 and 157,543.50 is: 344,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,129.75 : 157,543.50 = 157,543.50 : x
  2. Step 2: Convert to fraction form
    72,129.75/157,543.50 = 157,543.50/x
  3. Step 3: Cross multiply
    72,129.75x = 157,543.50 × 157,543.50
  4. Step 4: Simplify right side
    72,129.75x = 24,819,954,392.25
  5. Step 5: Solve for x
    x = 24,819,954,392.25/72,129.75
  6. Step 6: Final answer
    x = 344,101.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.