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Finding the Third Proportional to 100,895 and 216,280

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Solution

The third proportional to 100,895 and 216,280 is: 463,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,895 : 216,280 = 216,280 : x
  2. Step 2: Convert to fraction form
    100,895/216,280 = 216,280/x
  3. Step 3: Cross multiply
    100,895x = 216,280 × 216,280
  4. Step 4: Simplify right side
    100,895x = 46,777,038,400
  5. Step 5: Solve for x
    x = 46,777,038,400/100,895
  6. Step 6: Final answer
    x = 463,620.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.