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Finding the Third Proportional to 285,707 and 622,209

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Solution

The third proportional to 285,707 and 622,209 is: 1,355,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,707 : 622,209 = 622,209 : x
  2. Step 2: Convert to fraction form
    285,707/622,209 = 622,209/x
  3. Step 3: Cross multiply
    285,707x = 622,209 × 622,209
  4. Step 4: Simplify right side
    285,707x = 387,144,039,681
  5. Step 5: Solve for x
    x = 387,144,039,681/285,707
  6. Step 6: Final answer
    x = 1,355,038.69

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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.