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Finding the Third Proportional to 36,278 and 55,459

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Solution

The third proportional to 36,278 and 55,459 is: 84,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278 : 55,459 = 55,459 : x
  2. Step 2: Convert to fraction form
    36,278/55,459 = 55,459/x
  3. Step 3: Cross multiply
    36,278x = 55,459 × 55,459
  4. Step 4: Simplify right side
    36,278x = 3,075,700,681
  5. Step 5: Solve for x
    x = 3,075,700,681/36,278
  6. Step 6: Final answer
    x = 84,781.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.