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Finding the Third Proportional to 103,290 and 221,646

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Solution

The third proportional to 103,290 and 221,646 is: 475,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,290 : 221,646 = 221,646 : x
  2. Step 2: Convert to fraction form
    103,290/221,646 = 221,646/x
  3. Step 3: Cross multiply
    103,290x = 221,646 × 221,646
  4. Step 4: Simplify right side
    103,290x = 49,126,949,316
  5. Step 5: Solve for x
    x = 49,126,949,316/103,290
  6. Step 6: Final answer
    x = 475,621.54

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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.