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Finding the Third Proportional to 70,746.50 and 154,129

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Solution

The third proportional to 70,746.50 and 154,129 is: 335,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,746.50 : 154,129 = 154,129 : x
  2. Step 2: Convert to fraction form
    70,746.50/154,129 = 154,129/x
  3. Step 3: Cross multiply
    70,746.50x = 154,129 × 154,129
  4. Step 4: Simplify right side
    70,746.50x = 23,755,748,641
  5. Step 5: Solve for x
    x = 23,755,748,641/70,746.50
  6. Step 6: Final answer
    x = 335,786.91

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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.