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Finding the Third Proportional to 70,512 and 153,886

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Solution

The third proportional to 70,512 and 153,886 is: 335,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512 : 153,886 = 153,886 : x
  2. Step 2: Convert to fraction form
    70,512/153,886 = 153,886/x
  3. Step 3: Cross multiply
    70,512x = 153,886 × 153,886
  4. Step 4: Simplify right side
    70,512x = 23,680,900,996
  5. Step 5: Solve for x
    x = 23,680,900,996/70,512
  6. Step 6: Final answer
    x = 335,842.14

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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.