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Finding the Third Proportional to 35,415 and 55,278

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Solution

The third proportional to 35,415 and 55,278 is: 86,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415 : 55,278 = 55,278 : x
  2. Step 2: Convert to fraction form
    35,415/55,278 = 55,278/x
  3. Step 3: Cross multiply
    35,415x = 55,278 × 55,278
  4. Step 4: Simplify right side
    35,415x = 3,055,657,284
  5. Step 5: Solve for x
    x = 3,055,657,284/35,415
  6. Step 6: Final answer
    x = 86,281.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.