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Finding the Third Proportional to 145,277 and 316,286

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Solution

The third proportional to 145,277 and 316,286 is: 688,593.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,277 : 316,286 = 316,286 : x
  2. Step 2: Convert to fraction form
    145,277/316,286 = 316,286/x
  3. Step 3: Cross multiply
    145,277x = 316,286 × 316,286
  4. Step 4: Simplify right side
    145,277x = 100,036,833,796
  5. Step 5: Solve for x
    x = 100,036,833,796/145,277
  6. Step 6: Final answer
    x = 688,593.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.