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Finding the Third Proportional to 100,203 and 216,363

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Solution

The third proportional to 100,203 and 216,363 is: 467,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203 : 216,363 = 216,363 : x
  2. Step 2: Convert to fraction form
    100,203/216,363 = 216,363/x
  3. Step 3: Cross multiply
    100,203x = 216,363 × 216,363
  4. Step 4: Simplify right side
    100,203x = 46,812,947,769
  5. Step 5: Solve for x
    x = 46,812,947,769/100,203
  6. Step 6: Final answer
    x = 467,181.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.