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Finding the Third Proportional to 310,832 and 671,280

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Solution

The third proportional to 310,832 and 671,280 is: 1,449,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,832 : 671,280 = 671,280 : x
  2. Step 2: Convert to fraction form
    310,832/671,280 = 671,280/x
  3. Step 3: Cross multiply
    310,832x = 671,280 × 671,280
  4. Step 4: Simplify right side
    310,832x = 450,616,838,400
  5. Step 5: Solve for x
    x = 450,616,838,400/310,832
  6. Step 6: Final answer
    x = 1,449,711.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.