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Finding the Third Proportional to 243,515 and 520,645

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Solution

The third proportional to 243,515 and 520,645 is: 1,113,160.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,515 : 520,645 = 520,645 : x
  2. Step 2: Convert to fraction form
    243,515/520,645 = 520,645/x
  3. Step 3: Cross multiply
    243,515x = 520,645 × 520,645
  4. Step 4: Simplify right side
    243,515x = 271,071,216,025
  5. Step 5: Solve for x
    x = 271,071,216,025/243,515
  6. Step 6: Final answer
    x = 1,113,160.24

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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.