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Finding the Third Proportional to 42,670 and 91,778

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Solution

The third proportional to 42,670 and 91,778 is: 197,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,670 : 91,778 = 91,778 : x
  2. Step 2: Convert to fraction form
    42,670/91,778 = 91,778/x
  3. Step 3: Cross multiply
    42,670x = 91,778 × 91,778
  4. Step 4: Simplify right side
    42,670x = 8,423,201,284
  5. Step 5: Solve for x
    x = 8,423,201,284/42,670
  6. Step 6: Final answer
    x = 197,403.36

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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.