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Finding the Third Proportional to 242,398 and 520,778

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Solution

The third proportional to 242,398 and 520,778 is: 1,118,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,398 : 520,778 = 520,778 : x
  2. Step 2: Convert to fraction form
    242,398/520,778 = 520,778/x
  3. Step 3: Cross multiply
    242,398x = 520,778 × 520,778
  4. Step 4: Simplify right side
    242,398x = 271,209,725,284
  5. Step 5: Solve for x
    x = 271,209,725,284/242,398
  6. Step 6: Final answer
    x = 1,118,861.23

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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.