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Finding the Third Proportional to 85,419.84 and 127,437.05

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Solution

The third proportional to 85,419.84 and 127,437.05 is: 190,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,419.84 : 127,437.05 = 127,437.05 : x
  2. Step 2: Convert to fraction form
    85,419.84/127,437.05 = 127,437.05/x
  3. Step 3: Cross multiply
    85,419.84x = 127,437.05 × 127,437.05
  4. Step 4: Simplify right side
    85,419.84x = 16,240,200,916.22
  5. Step 5: Solve for x
    x = 16,240,200,916.22/85,419.84
  6. Step 6: Final answer
    x = 190,122.11

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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.