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Finding the Third Proportional to 243,517 and 520,649

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Solution

The third proportional to 243,517 and 520,649 is: 1,113,168.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,517 : 520,649 = 520,649 : x
  2. Step 2: Convert to fraction form
    243,517/520,649 = 520,649/x
  3. Step 3: Cross multiply
    243,517x = 520,649 × 520,649
  4. Step 4: Simplify right side
    243,517x = 271,075,381,201
  5. Step 5: Solve for x
    x = 271,075,381,201/243,517
  6. Step 6: Final answer
    x = 1,113,168.20

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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.