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Finding the Third Proportional to 145,320 and 311,376

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Solution

The third proportional to 145,320 and 311,376 is: 667,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,320 : 311,376 = 311,376 : x
  2. Step 2: Convert to fraction form
    145,320/311,376 = 311,376/x
  3. Step 3: Cross multiply
    145,320x = 311,376 × 311,376
  4. Step 4: Simplify right side
    145,320x = 96,955,013,376
  5. Step 5: Solve for x
    x = 96,955,013,376/145,320
  6. Step 6: Final answer
    x = 667,182.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.