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Finding the Third Proportional to 312,248 and 676,606

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Solution

The third proportional to 312,248 and 676,606 is: 1,466,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,248 : 676,606 = 676,606 : x
  2. Step 2: Convert to fraction form
    312,248/676,606 = 676,606/x
  3. Step 3: Cross multiply
    312,248x = 676,606 × 676,606
  4. Step 4: Simplify right side
    312,248x = 457,795,679,236
  5. Step 5: Solve for x
    x = 457,795,679,236/312,248
  6. Step 6: Final answer
    x = 1,466,128.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.