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Finding the Third Proportional to 243,212 and 520,046

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Solution

The third proportional to 243,212 and 520,046 is: 1,111,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,212 : 520,046 = 520,046 : x
  2. Step 2: Convert to fraction form
    243,212/520,046 = 520,046/x
  3. Step 3: Cross multiply
    243,212x = 520,046 × 520,046
  4. Step 4: Simplify right side
    243,212x = 270,447,842,116
  5. Step 5: Solve for x
    x = 270,447,842,116/243,212
  6. Step 6: Final answer
    x = 1,111,983.96

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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.