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Finding the Third Proportional to 316,005 and 676,297

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Solution

The third proportional to 316,005 and 676,297 is: 1,447,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,005 : 676,297 = 676,297 : x
  2. Step 2: Convert to fraction form
    316,005/676,297 = 676,297/x
  3. Step 3: Cross multiply
    316,005x = 676,297 × 676,297
  4. Step 4: Simplify right side
    316,005x = 457,377,632,209
  5. Step 5: Solve for x
    x = 457,377,632,209/316,005
  6. Step 6: Final answer
    x = 1,447,374.67

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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.