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Finding the Third Proportional to 72,000.75 and 157,102.50

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Solution

The third proportional to 72,000.75 and 157,102.50 is: 342,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,000.75 : 157,102.50 = 157,102.50 : x
  2. Step 2: Convert to fraction form
    72,000.75/157,102.50 = 157,102.50/x
  3. Step 3: Cross multiply
    72,000.75x = 157,102.50 × 157,102.50
  4. Step 4: Simplify right side
    72,000.75x = 24,681,195,506.25
  5. Step 5: Solve for x
    x = 24,681,195,506.25/72,000.75
  6. Step 6: Final answer
    x = 342,790.81

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1.5x scale

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.