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Finding the Third Proportional to 70,822 and 154,712

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Solution

The third proportional to 70,822 and 154,712 is: 337,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,822 : 154,712 = 154,712 : x
  2. Step 2: Convert to fraction form
    70,822/154,712 = 154,712/x
  3. Step 3: Cross multiply
    70,822x = 154,712 × 154,712
  4. Step 4: Simplify right side
    70,822x = 23,935,802,944
  5. Step 5: Solve for x
    x = 23,935,802,944/70,822
  6. Step 6: Final answer
    x = 337,971.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.