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Finding the Third Proportional to 242,399 and 520,780

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Solution

The third proportional to 242,399 and 520,780 is: 1,118,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,399 : 520,780 = 520,780 : x
  2. Step 2: Convert to fraction form
    242,399/520,780 = 520,780/x
  3. Step 3: Cross multiply
    242,399x = 520,780 × 520,780
  4. Step 4: Simplify right side
    242,399x = 271,211,808,400
  5. Step 5: Solve for x
    x = 271,211,808,400/242,399
  6. Step 6: Final answer
    x = 1,118,865.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.