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Finding the Third Proportional to 105,719.24 and 163,586.10

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Solution

The third proportional to 105,719.24 and 163,586.10 is: 253,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,719.24 : 163,586.10 = 163,586.10 : x
  2. Step 2: Convert to fraction form
    105,719.24/163,586.10 = 163,586.10/x
  3. Step 3: Cross multiply
    105,719.24x = 163,586.10 × 163,586.10
  4. Step 4: Simplify right side
    105,719.24x = 26,760,413,742.68
  5. Step 5: Solve for x
    x = 26,760,413,742.68/105,719.24
  6. Step 6: Final answer
    x = 253,127.19

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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.