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Finding the Third Proportional to 1,705.92 and 4,127.86

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Solution

The third proportional to 1,705.92 and 4,127.86 is: 9,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.92 : 4,127.86 = 4,127.86 : x
  2. Step 2: Convert to fraction form
    1,705.92/4,127.86 = 4,127.86/x
  3. Step 3: Cross multiply
    1,705.92x = 4,127.86 × 4,127.86
  4. Step 4: Simplify right side
    1,705.92x = 17,039,192.79
  5. Step 5: Solve for x
    x = 17,039,192.79/1,705.92
  6. Step 6: Final answer
    x = 9,988.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.