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Finding the Third Proportional to 136,410 and 296,145

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Solution

The third proportional to 136,410 and 296,145 is: 642,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410 : 296,145 = 296,145 : x
  2. Step 2: Convert to fraction form
    136,410/296,145 = 296,145/x
  3. Step 3: Cross multiply
    136,410x = 296,145 × 296,145
  4. Step 4: Simplify right side
    136,410x = 87,701,861,025
  5. Step 5: Solve for x
    x = 87,701,861,025/136,410
  6. Step 6: Final answer
    x = 642,928.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.