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Finding the Third Proportional to 285,623 and 626,251

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Solution

The third proportional to 285,623 and 626,251 is: 1,373,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,623 : 626,251 = 626,251 : x
  2. Step 2: Convert to fraction form
    285,623/626,251 = 626,251/x
  3. Step 3: Cross multiply
    285,623x = 626,251 × 626,251
  4. Step 4: Simplify right side
    285,623x = 392,190,315,001
  5. Step 5: Solve for x
    x = 392,190,315,001/285,623
  6. Step 6: Final answer
    x = 1,373,104.81

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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.