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Finding the Third Proportional to 21,895 and 45,347

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Solution

The third proportional to 21,895 and 45,347 is: 93,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,895 : 45,347 = 45,347 : x
  2. Step 2: Convert to fraction form
    21,895/45,347 = 45,347/x
  3. Step 3: Cross multiply
    21,895x = 45,347 × 45,347
  4. Step 4: Simplify right side
    21,895x = 2,056,350,409
  5. Step 5: Solve for x
    x = 2,056,350,409/21,895
  6. Step 6: Final answer
    x = 93,918.72

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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.