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Finding the Third Proportional to 21,119 and 45,358

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Solution

The third proportional to 21,119 and 45,358 is: 97,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,119 : 45,358 = 45,358 : x
  2. Step 2: Convert to fraction form
    21,119/45,358 = 45,358/x
  3. Step 3: Cross multiply
    21,119x = 45,358 × 45,358
  4. Step 4: Simplify right side
    21,119x = 2,057,348,164
  5. Step 5: Solve for x
    x = 2,057,348,164/21,119
  6. Step 6: Final answer
    x = 97,416.93

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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.