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Finding the Third Proportional to 43,630 and 90,498

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Solution

The third proportional to 43,630 and 90,498 is: 187,712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,630 : 90,498 = 90,498 : x
  2. Step 2: Convert to fraction form
    43,630/90,498 = 90,498/x
  3. Step 3: Cross multiply
    43,630x = 90,498 × 90,498
  4. Step 4: Simplify right side
    43,630x = 8,189,888,004
  5. Step 5: Solve for x
    x = 8,189,888,004/43,630
  6. Step 6: Final answer
    x = 187,712.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.