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Finding the Third Proportional to 154,070 and 331,144

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Solution

The third proportional to 154,070 and 331,144 is: 711,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,070 : 331,144 = 331,144 : x
  2. Step 2: Convert to fraction form
    154,070/331,144 = 331,144/x
  3. Step 3: Cross multiply
    154,070x = 331,144 × 331,144
  4. Step 4: Simplify right side
    154,070x = 109,656,348,736
  5. Step 5: Solve for x
    x = 109,656,348,736/154,070
  6. Step 6: Final answer
    x = 711,730.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.