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Finding the Third Proportional to 67,197 and 141,289

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Solution

The third proportional to 67,197 and 141,289 is: 297,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,197 : 141,289 = 141,289 : x
  2. Step 2: Convert to fraction form
    67,197/141,289 = 141,289/x
  3. Step 3: Cross multiply
    67,197x = 141,289 × 141,289
  4. Step 4: Simplify right side
    67,197x = 19,962,581,521
  5. Step 5: Solve for x
    x = 19,962,581,521/67,197
  6. Step 6: Final answer
    x = 297,075.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.