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Finding the Third Proportional to 42,945 and 63,135

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Solution

The third proportional to 42,945 and 63,135 is: 92,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945 : 63,135 = 63,135 : x
  2. Step 2: Convert to fraction form
    42,945/63,135 = 63,135/x
  3. Step 3: Cross multiply
    42,945x = 63,135 × 63,135
  4. Step 4: Simplify right side
    42,945x = 3,986,028,225
  5. Step 5: Solve for x
    x = 3,986,028,225/42,945
  6. Step 6: Final answer
    x = 92,817.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.