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Finding the Third Proportional to 243,367 and 520,364

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Solution

The third proportional to 243,367 and 520,364 is: 1,112,635.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,367 : 520,364 = 520,364 : x
  2. Step 2: Convert to fraction form
    243,367/520,364 = 520,364/x
  3. Step 3: Cross multiply
    243,367x = 520,364 × 520,364
  4. Step 4: Simplify right side
    243,367x = 270,778,692,496
  5. Step 5: Solve for x
    x = 270,778,692,496/243,367
  6. Step 6: Final answer
    x = 1,112,635.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.