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Finding the Third Proportional to 279,123 and 581,862

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Solution

The third proportional to 279,123 and 581,862 is: 1,212,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,123 : 581,862 = 581,862 : x
  2. Step 2: Convert to fraction form
    279,123/581,862 = 581,862/x
  3. Step 3: Cross multiply
    279,123x = 581,862 × 581,862
  4. Step 4: Simplify right side
    279,123x = 338,563,387,044
  5. Step 5: Solve for x
    x = 338,563,387,044/279,123
  6. Step 6: Final answer
    x = 1,212,954.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.