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Finding the Third Proportional to 42,120 and 90,768

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Solution

The third proportional to 42,120 and 90,768 is: 195,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,120 : 90,768 = 90,768 : x
  2. Step 2: Convert to fraction form
    42,120/90,768 = 90,768/x
  3. Step 3: Cross multiply
    42,120x = 90,768 × 90,768
  4. Step 4: Simplify right side
    42,120x = 8,238,829,824
  5. Step 5: Solve for x
    x = 8,238,829,824/42,120
  6. Step 6: Final answer
    x = 195,603.75

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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.