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Finding the Third Proportional to 136,324 and 279,446

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Solution

The third proportional to 136,324 and 279,446 is: 572,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,324 : 279,446 = 279,446 : x
  2. Step 2: Convert to fraction form
    136,324/279,446 = 279,446/x
  3. Step 3: Cross multiply
    136,324x = 279,446 × 279,446
  4. Step 4: Simplify right side
    136,324x = 78,090,066,916
  5. Step 5: Solve for x
    x = 78,090,066,916/136,324
  6. Step 6: Final answer
    x = 572,826.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.