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Finding the Third Proportional to 103,630 and 216,643

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Solution

The third proportional to 103,630 and 216,643 is: 452,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,630 : 216,643 = 216,643 : x
  2. Step 2: Convert to fraction form
    103,630/216,643 = 216,643/x
  3. Step 3: Cross multiply
    103,630x = 216,643 × 216,643
  4. Step 4: Simplify right side
    103,630x = 46,934,189,449
  5. Step 5: Solve for x
    x = 46,934,189,449/103,630
  6. Step 6: Final answer
    x = 452,901.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.