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Finding the Third Proportional to 76,320 and 157,440

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Solution

The third proportional to 76,320 and 157,440 is: 324,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,320 : 157,440 = 157,440 : x
  2. Step 2: Convert to fraction form
    76,320/157,440 = 157,440/x
  3. Step 3: Cross multiply
    76,320x = 157,440 × 157,440
  4. Step 4: Simplify right side
    76,320x = 24,787,353,600
  5. Step 5: Solve for x
    x = 24,787,353,600/76,320
  6. Step 6: Final answer
    x = 324,781.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.