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Finding the Third Proportional to 136,318 and 279,434

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Solution

The third proportional to 136,318 and 279,434 is: 572,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,318 : 279,434 = 279,434 : x
  2. Step 2: Convert to fraction form
    136,318/279,434 = 279,434/x
  3. Step 3: Cross multiply
    136,318x = 279,434 × 279,434
  4. Step 4: Simplify right side
    136,318x = 78,083,360,356
  5. Step 5: Solve for x
    x = 78,083,360,356/136,318
  6. Step 6: Final answer
    x = 572,803.01

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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.