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Finding the Third Proportional to 21,465 and 45,279

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Solution

The third proportional to 21,465 and 45,279 is: 95,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 45,279 = 45,279 : x
  2. Step 2: Convert to fraction form
    21,465/45,279 = 45,279/x
  3. Step 3: Cross multiply
    21,465x = 45,279 × 45,279
  4. Step 4: Simplify right side
    21,465x = 2,050,187,841
  5. Step 5: Solve for x
    x = 2,050,187,841/21,465
  6. Step 6: Final answer
    x = 95,513.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.