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Finding the Third Proportional to 285,441 and 621,737

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Solution

The third proportional to 285,441 and 621,737 is: 1,354,244.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,441 : 621,737 = 621,737 : x
  2. Step 2: Convert to fraction form
    285,441/621,737 = 621,737/x
  3. Step 3: Cross multiply
    285,441x = 621,737 × 621,737
  4. Step 4: Simplify right side
    285,441x = 386,556,897,169
  5. Step 5: Solve for x
    x = 386,556,897,169/285,441
  6. Step 6: Final answer
    x = 1,354,244.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.