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Finding the Third Proportional to 81,124.50 and 121,011.75

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Solution

The third proportional to 81,124.50 and 121,011.75 is: 180,510.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,124.50 : 121,011.75 = 121,011.75 : x
  2. Step 2: Convert to fraction form
    81,124.50/121,011.75 = 121,011.75/x
  3. Step 3: Cross multiply
    81,124.50x = 121,011.75 × 121,011.75
  4. Step 4: Simplify right side
    81,124.50x = 14,643,843,638.06
  5. Step 5: Solve for x
    x = 14,643,843,638.06/81,124.50
  6. Step 6: Final answer
    x = 180,510.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.