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Finding the Third Proportional to 45,139.78 and 70,175.11

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Solution

The third proportional to 45,139.78 and 70,175.11 is: 109,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,139.78 : 70,175.11 = 70,175.11 : x
  2. Step 2: Convert to fraction form
    45,139.78/70,175.11 = 70,175.11/x
  3. Step 3: Cross multiply
    45,139.78x = 70,175.11 × 70,175.11
  4. Step 4: Simplify right side
    45,139.78x = 4,924,545,975.79
  5. Step 5: Solve for x
    x = 4,924,545,975.79/45,139.78
  6. Step 6: Final answer
    x = 109,095.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.