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Finding the Third Proportional to 551,100 and 842,464

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Solution

The third proportional to 551,100 and 842,464 is: 1,287,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,100 : 842,464 = 842,464 : x
  2. Step 2: Convert to fraction form
    551,100/842,464 = 842,464/x
  3. Step 3: Cross multiply
    551,100x = 842,464 × 842,464
  4. Step 4: Simplify right side
    551,100x = 709,745,591,296
  5. Step 5: Solve for x
    x = 709,745,591,296/551,100
  6. Step 6: Final answer
    x = 1,287,870.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.