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Finding the Third Proportional to 211,076 and 297,248

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Solution

The third proportional to 211,076 and 297,248 is: 418,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,076 : 297,248 = 297,248 : x
  2. Step 2: Convert to fraction form
    211,076/297,248 = 297,248/x
  3. Step 3: Cross multiply
    211,076x = 297,248 × 297,248
  4. Step 4: Simplify right side
    211,076x = 88,356,373,504
  5. Step 5: Solve for x
    x = 88,356,373,504/211,076
  6. Step 6: Final answer
    x = 418,599.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.