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Finding the Third Proportional to 314,871 and 679,494

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Solution

The third proportional to 314,871 and 679,494 is: 1,466,353.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,871 : 679,494 = 679,494 : x
  2. Step 2: Convert to fraction form
    314,871/679,494 = 679,494/x
  3. Step 3: Cross multiply
    314,871x = 679,494 × 679,494
  4. Step 4: Simplify right side
    314,871x = 461,712,096,036
  5. Step 5: Solve for x
    x = 461,712,096,036/314,871
  6. Step 6: Final answer
    x = 1,466,353.19

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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.