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Finding the Third Proportional to 53,376 and 77,310

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Solution

The third proportional to 53,376 and 77,310 is: 111,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,376 : 77,310 = 77,310 : x
  2. Step 2: Convert to fraction form
    53,376/77,310 = 77,310/x
  3. Step 3: Cross multiply
    53,376x = 77,310 × 77,310
  4. Step 4: Simplify right side
    53,376x = 5,976,836,100
  5. Step 5: Solve for x
    x = 5,976,836,100/53,376
  6. Step 6: Final answer
    x = 111,976.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.