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Finding the Third Proportional to 70,702 and 153,842

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Solution

The third proportional to 70,702 and 153,842 is: 334,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,702 : 153,842 = 153,842 : x
  2. Step 2: Convert to fraction form
    70,702/153,842 = 153,842/x
  3. Step 3: Cross multiply
    70,702x = 153,842 × 153,842
  4. Step 4: Simplify right side
    70,702x = 23,667,360,964
  5. Step 5: Solve for x
    x = 23,667,360,964/70,702
  6. Step 6: Final answer
    x = 334,748.11

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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.