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Finding the Third Proportional to 382,637 and 553,129

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Solution

The third proportional to 382,637 and 553,129 is: 799,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,637 : 553,129 = 553,129 : x
  2. Step 2: Convert to fraction form
    382,637/553,129 = 553,129/x
  3. Step 3: Cross multiply
    382,637x = 553,129 × 553,129
  4. Step 4: Simplify right side
    382,637x = 305,951,690,641
  5. Step 5: Solve for x
    x = 305,951,690,641/382,637
  6. Step 6: Final answer
    x = 799,587.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.