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Finding the Third Proportional to 45,707 and 70,632

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Solution

The third proportional to 45,707 and 70,632 is: 109,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,707 : 70,632 = 70,632 : x
  2. Step 2: Convert to fraction form
    45,707/70,632 = 70,632/x
  3. Step 3: Cross multiply
    45,707x = 70,632 × 70,632
  4. Step 4: Simplify right side
    45,707x = 4,988,879,424
  5. Step 5: Solve for x
    x = 4,988,879,424/45,707
  6. Step 6: Final answer
    x = 109,149.13

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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.