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Finding the Third Proportional to 136,126 and 288,416

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Solution

The third proportional to 136,126 and 288,416 is: 611,079.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,126 : 288,416 = 288,416 : x
  2. Step 2: Convert to fraction form
    136,126/288,416 = 288,416/x
  3. Step 3: Cross multiply
    136,126x = 288,416 × 288,416
  4. Step 4: Simplify right side
    136,126x = 83,183,789,056
  5. Step 5: Solve for x
    x = 83,183,789,056/136,126
  6. Step 6: Final answer
    x = 611,079.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.