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Finding the Third Proportional to 242,667 and 520,461

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Solution

The third proportional to 242,667 and 520,461 is: 1,116,260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,667 : 520,461 = 520,461 : x
  2. Step 2: Convert to fraction form
    242,667/520,461 = 520,461/x
  3. Step 3: Cross multiply
    242,667x = 520,461 × 520,461
  4. Step 4: Simplify right side
    242,667x = 270,879,652,521
  5. Step 5: Solve for x
    x = 270,879,652,521/242,667
  6. Step 6: Final answer
    x = 1,116,260.77

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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.