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Finding the Third Proportional to 71,421 and 112,998

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Solution

The third proportional to 71,421 and 112,998 is: 178,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,421 : 112,998 = 112,998 : x
  2. Step 2: Convert to fraction form
    71,421/112,998 = 112,998/x
  3. Step 3: Cross multiply
    71,421x = 112,998 × 112,998
  4. Step 4: Simplify right side
    71,421x = 12,768,548,004
  5. Step 5: Solve for x
    x = 12,768,548,004/71,421
  6. Step 6: Final answer
    x = 178,778.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.