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Finding the Third Proportional to 138,572 and 296,098

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Solution

The third proportional to 138,572 and 296,098 is: 632,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,572 : 296,098 = 296,098 : x
  2. Step 2: Convert to fraction form
    138,572/296,098 = 296,098/x
  3. Step 3: Cross multiply
    138,572x = 296,098 × 296,098
  4. Step 4: Simplify right side
    138,572x = 87,674,025,604
  5. Step 5: Solve for x
    x = 87,674,025,604/138,572
  6. Step 6: Final answer
    x = 632,696.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.