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Finding the Third Proportional to 111,471 and 242,623

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Solution

The third proportional to 111,471 and 242,623 is: 528,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,471 : 242,623 = 242,623 : x
  2. Step 2: Convert to fraction form
    111,471/242,623 = 242,623/x
  3. Step 3: Cross multiply
    111,471x = 242,623 × 242,623
  4. Step 4: Simplify right side
    111,471x = 58,865,920,129
  5. Step 5: Solve for x
    x = 58,865,920,129/111,471
  6. Step 6: Final answer
    x = 528,082.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.