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Finding the Third Proportional to 733,346 and 1,166,911

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Solution

The third proportional to 733,346 and 1,166,911 is: 1,856,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,346 : 1,166,911 = 1,166,911 : x
  2. Step 2: Convert to fraction form
    733,346/1,166,911 = 1,166,911/x
  3. Step 3: Cross multiply
    733,346x = 1,166,911 × 1,166,911
  4. Step 4: Simplify right side
    733,346x = 1,361,681,281,921
  5. Step 5: Solve for x
    x = 1,361,681,281,921/733,346
  6. Step 6: Final answer
    x = 1,856,806.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.