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Finding the Third Proportional to 252,520 and 552,556

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Solution

The third proportional to 252,520 and 552,556 is: 1,209,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,520 : 552,556 = 552,556 : x
  2. Step 2: Convert to fraction form
    252,520/552,556 = 552,556/x
  3. Step 3: Cross multiply
    252,520x = 552,556 × 552,556
  4. Step 4: Simplify right side
    252,520x = 305,318,133,136
  5. Step 5: Solve for x
    x = 305,318,133,136/252,520
  6. Step 6: Final answer
    x = 1,209,084.96

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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.