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Finding the Third Proportional to 72,570 and 157,578

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Solution

The third proportional to 72,570 and 157,578 is: 342,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570 : 157,578 = 157,578 : x
  2. Step 2: Convert to fraction form
    72,570/157,578 = 157,578/x
  3. Step 3: Cross multiply
    72,570x = 157,578 × 157,578
  4. Step 4: Simplify right side
    72,570x = 24,830,826,084
  5. Step 5: Solve for x
    x = 24,830,826,084/72,570
  6. Step 6: Final answer
    x = 342,163.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.