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Finding the Third Proportional to 318,920 and 676,712

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Solution

The third proportional to 318,920 and 676,712 is: 1,435,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,920 : 676,712 = 676,712 : x
  2. Step 2: Convert to fraction form
    318,920/676,712 = 676,712/x
  3. Step 3: Cross multiply
    318,920x = 676,712 × 676,712
  4. Step 4: Simplify right side
    318,920x = 457,939,130,944
  5. Step 5: Solve for x
    x = 457,939,130,944/318,920
  6. Step 6: Final answer
    x = 1,435,905.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.