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Finding the Third Proportional to 81,528.40 and 175,113.77

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Solution

The third proportional to 81,528.40 and 175,113.77 is: 376,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,528.40 : 175,113.77 = 175,113.77 : x
  2. Step 2: Convert to fraction form
    81,528.40/175,113.77 = 175,113.77/x
  3. Step 3: Cross multiply
    81,528.40x = 175,113.77 × 175,113.77
  4. Step 4: Simplify right side
    81,528.40x = 30,664,833,647.52
  5. Step 5: Solve for x
    x = 30,664,833,647.52/81,528.40
  6. Step 6: Final answer
    x = 376,124.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.