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Finding the Third Proportional to 136,026 and 296,142

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Solution

The third proportional to 136,026 and 296,142 is: 644,730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,026 : 296,142 = 296,142 : x
  2. Step 2: Convert to fraction form
    136,026/296,142 = 296,142/x
  3. Step 3: Cross multiply
    136,026x = 296,142 × 296,142
  4. Step 4: Simplify right side
    136,026x = 87,700,084,164
  5. Step 5: Solve for x
    x = 87,700,084,164/136,026
  6. Step 6: Final answer
    x = 644,730.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.