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Finding the Third Proportional to 243,513 and 520,641

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Solution

The third proportional to 243,513 and 520,641 is: 1,113,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,513 : 520,641 = 520,641 : x
  2. Step 2: Convert to fraction form
    243,513/520,641 = 520,641/x
  3. Step 3: Cross multiply
    243,513x = 520,641 × 520,641
  4. Step 4: Simplify right side
    243,513x = 271,067,050,881
  5. Step 5: Solve for x
    x = 271,067,050,881/243,513
  6. Step 6: Final answer
    x = 1,113,152.28

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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.