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Finding the Third Proportional to 728,459 and 1,102,848

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Solution

The third proportional to 728,459 and 1,102,848 is: 1,669,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,459 : 1,102,848 = 1,102,848 : x
  2. Step 2: Convert to fraction form
    728,459/1,102,848 = 1,102,848/x
  3. Step 3: Cross multiply
    728,459x = 1,102,848 × 1,102,848
  4. Step 4: Simplify right side
    728,459x = 1,216,273,711,104
  5. Step 5: Solve for x
    x = 1,216,273,711,104/728,459
  6. Step 6: Final answer
    x = 1,669,652.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.