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Finding the Third Proportional to 86,557.36 and 129,490.05

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Solution

The third proportional to 86,557.36 and 129,490.05 is: 193,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,557.36 : 129,490.05 = 129,490.05 : x
  2. Step 2: Convert to fraction form
    86,557.36/129,490.05 = 129,490.05/x
  3. Step 3: Cross multiply
    86,557.36x = 129,490.05 × 129,490.05
  4. Step 4: Simplify right side
    86,557.36x = 16,767,672,745.51
  5. Step 5: Solve for x
    x = 16,767,672,745.51/86,557.36
  6. Step 6: Final answer
    x = 193,717.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.