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Finding the Third Proportional to 136,470 and 296,249

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Solution

The third proportional to 136,470 and 296,249 is: 643,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,470 : 296,249 = 296,249 : x
  2. Step 2: Convert to fraction form
    136,470/296,249 = 296,249/x
  3. Step 3: Cross multiply
    136,470x = 296,249 × 296,249
  4. Step 4: Simplify right side
    136,470x = 87,763,470,001
  5. Step 5: Solve for x
    x = 87,763,470,001/136,470
  6. Step 6: Final answer
    x = 643,097.16

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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.