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Finding the Third Proportional to 72,180 and 157,440

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Solution

The third proportional to 72,180 and 157,440 is: 343,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,180 : 157,440 = 157,440 : x
  2. Step 2: Convert to fraction form
    72,180/157,440 = 157,440/x
  3. Step 3: Cross multiply
    72,180x = 157,440 × 157,440
  4. Step 4: Simplify right side
    72,180x = 24,787,353,600
  5. Step 5: Solve for x
    x = 24,787,353,600/72,180
  6. Step 6: Final answer
    x = 343,410.27

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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.