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Finding the Third Proportional to 553,840 and 792,001

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Solution

The third proportional to 553,840 and 792,001 is: 1,132,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,840 : 792,001 = 792,001 : x
  2. Step 2: Convert to fraction form
    553,840/792,001 = 792,001/x
  3. Step 3: Cross multiply
    553,840x = 792,001 × 792,001
  4. Step 4: Simplify right side
    553,840x = 627,265,584,001
  5. Step 5: Solve for x
    x = 627,265,584,001/553,840
  6. Step 6: Final answer
    x = 1,132,575.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.