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Finding the Third Proportional to 89,278 and 210,392

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Solution

The third proportional to 89,278 and 210,392 is: 495,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,278 : 210,392 = 210,392 : x
  2. Step 2: Convert to fraction form
    89,278/210,392 = 210,392/x
  3. Step 3: Cross multiply
    89,278x = 210,392 × 210,392
  4. Step 4: Simplify right side
    89,278x = 44,264,793,664
  5. Step 5: Solve for x
    x = 44,264,793,664/89,278
  6. Step 6: Final answer
    x = 495,808.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.