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Finding the Third Proportional to 42,590 and 87,913

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Solution

The third proportional to 42,590 and 87,913 is: 181,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590 : 87,913 = 87,913 : x
  2. Step 2: Convert to fraction form
    42,590/87,913 = 87,913/x
  3. Step 3: Cross multiply
    42,590x = 87,913 × 87,913
  4. Step 4: Simplify right side
    42,590x = 7,728,695,569
  5. Step 5: Solve for x
    x = 7,728,695,569/42,590
  6. Step 6: Final answer
    x = 181,467.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.