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Finding the Third Proportional to 136,460 and 296,230

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Solution

The third proportional to 136,460 and 296,230 is: 643,061.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,460 : 296,230 = 296,230 : x
  2. Step 2: Convert to fraction form
    136,460/296,230 = 296,230/x
  3. Step 3: Cross multiply
    136,460x = 296,230 × 296,230
  4. Step 4: Simplify right side
    136,460x = 87,752,212,900
  5. Step 5: Solve for x
    x = 87,752,212,900/136,460
  6. Step 6: Final answer
    x = 643,061.80

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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.