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Finding the Third Proportional to 243,209 and 520,042

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Solution

The third proportional to 243,209 and 520,042 is: 1,111,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,209 : 520,042 = 520,042 : x
  2. Step 2: Convert to fraction form
    243,209/520,042 = 520,042/x
  3. Step 3: Cross multiply
    243,209x = 520,042 × 520,042
  4. Step 4: Simplify right side
    243,209x = 270,443,681,764
  5. Step 5: Solve for x
    x = 270,443,681,764/243,209
  6. Step 6: Final answer
    x = 1,111,980.57

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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.