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Finding the Third Proportional to 223,020 and 487,512

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Solution

The third proportional to 223,020 and 487,512 is: 1,065,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,020 : 487,512 = 487,512 : x
  2. Step 2: Convert to fraction form
    223,020/487,512 = 487,512/x
  3. Step 3: Cross multiply
    223,020x = 487,512 × 487,512
  4. Step 4: Simplify right side
    223,020x = 237,667,950,144
  5. Step 5: Solve for x
    x = 237,667,950,144/223,020
  6. Step 6: Final answer
    x = 1,065,679.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.