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Finding the Third Proportional to 306,882 and 656,408

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Solution

The third proportional to 306,882 and 656,408 is: 1,404,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,882 : 656,408 = 656,408 : x
  2. Step 2: Convert to fraction form
    306,882/656,408 = 656,408/x
  3. Step 3: Cross multiply
    306,882x = 656,408 × 656,408
  4. Step 4: Simplify right side
    306,882x = 430,871,462,464
  5. Step 5: Solve for x
    x = 430,871,462,464/306,882
  6. Step 6: Final answer
    x = 1,404,029.77

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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.