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Finding the Third Proportional to 105,811.31 and 155,330.16

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Solution

The third proportional to 105,811.31 and 155,330.16 is: 228,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.31 : 155,330.16 = 155,330.16 : x
  2. Step 2: Convert to fraction form
    105,811.31/155,330.16 = 155,330.16/x
  3. Step 3: Cross multiply
    105,811.31x = 155,330.16 × 155,330.16
  4. Step 4: Simplify right side
    105,811.31x = 24,127,457,440.65
  5. Step 5: Solve for x
    x = 24,127,457,440.65/105,811.31
  6. Step 6: Final answer
    x = 228,023.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.