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Finding the Third Proportional to 316,246 and 691,484

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Solution

The third proportional to 316,246 and 691,484 is: 1,511,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,246 : 691,484 = 691,484 : x
  2. Step 2: Convert to fraction form
    316,246/691,484 = 691,484/x
  3. Step 3: Cross multiply
    316,246x = 691,484 × 691,484
  4. Step 4: Simplify right side
    316,246x = 478,150,122,256
  5. Step 5: Solve for x
    x = 478,150,122,256/316,246
  6. Step 6: Final answer
    x = 1,511,956.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.