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Finding the Third Proportional to 316,001 and 676,289

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Solution

The third proportional to 316,001 and 676,289 is: 1,447,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,001 : 676,289 = 676,289 : x
  2. Step 2: Convert to fraction form
    316,001/676,289 = 676,289/x
  3. Step 3: Cross multiply
    316,001x = 676,289 × 676,289
  4. Step 4: Simplify right side
    316,001x = 457,366,811,521
  5. Step 5: Solve for x
    x = 457,366,811,521/316,001
  6. Step 6: Final answer
    x = 1,447,358.75

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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.