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Finding the Third Proportional to 285,444 and 621,742

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Solution

The third proportional to 285,444 and 621,742 is: 1,354,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,444 : 621,742 = 621,742 : x
  2. Step 2: Convert to fraction form
    285,444/621,742 = 621,742/x
  3. Step 3: Cross multiply
    285,444x = 621,742 × 621,742
  4. Step 4: Simplify right side
    285,444x = 386,563,114,564
  5. Step 5: Solve for x
    x = 386,563,114,564/285,444
  6. Step 6: Final answer
    x = 1,354,252.02

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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.