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Finding the Third Proportional to 314,840 and 679,436

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Solution

The third proportional to 314,840 and 679,436 is: 1,466,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,840 : 679,436 = 679,436 : x
  2. Step 2: Convert to fraction form
    314,840/679,436 = 679,436/x
  3. Step 3: Cross multiply
    314,840x = 679,436 × 679,436
  4. Step 4: Simplify right side
    314,840x = 461,633,278,096
  5. Step 5: Solve for x
    x = 461,633,278,096/314,840
  6. Step 6: Final answer
    x = 1,466,247.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.