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Finding the Third Proportional to 385,567 and 817,789

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Solution

The third proportional to 385,567 and 817,789 is: 1,734,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,567 : 817,789 = 817,789 : x
  2. Step 2: Convert to fraction form
    385,567/817,789 = 817,789/x
  3. Step 3: Cross multiply
    385,567x = 817,789 × 817,789
  4. Step 4: Simplify right side
    385,567x = 668,778,848,521
  5. Step 5: Solve for x
    x = 668,778,848,521/385,567
  6. Step 6: Final answer
    x = 1,734,533.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.