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Finding the Third Proportional to 136,320 and 279,440

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Solution

The third proportional to 136,320 and 279,440 is: 572,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,320 : 279,440 = 279,440 : x
  2. Step 2: Convert to fraction form
    136,320/279,440 = 279,440/x
  3. Step 3: Cross multiply
    136,320x = 279,440 × 279,440
  4. Step 4: Simplify right side
    136,320x = 78,086,713,600
  5. Step 5: Solve for x
    x = 78,086,713,600/136,320
  6. Step 6: Final answer
    x = 572,819.20

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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.