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Finding the Third Proportional to 53,065.13 and 81,450.56

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Solution

The third proportional to 53,065.13 and 81,450.56 is: 125,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.13 : 81,450.56 = 81,450.56 : x
  2. Step 2: Convert to fraction form
    53,065.13/81,450.56 = 81,450.56/x
  3. Step 3: Cross multiply
    53,065.13x = 81,450.56 × 81,450.56
  4. Step 4: Simplify right side
    53,065.13x = 6,634,194,131.57
  5. Step 5: Solve for x
    x = 6,634,194,131.57/53,065.13
  6. Step 6: Final answer
    x = 125,019.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.