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Finding the Third Proportional to 131,098 and 308,160

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Solution

The third proportional to 131,098 and 308,160 is: 724,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,098 : 308,160 = 308,160 : x
  2. Step 2: Convert to fraction form
    131,098/308,160 = 308,160/x
  3. Step 3: Cross multiply
    131,098x = 308,160 × 308,160
  4. Step 4: Simplify right side
    131,098x = 94,962,585,600
  5. Step 5: Solve for x
    x = 94,962,585,600/131,098
  6. Step 6: Final answer
    x = 724,363.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.