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Finding the Third Proportional to 729,558 and 1,091,409

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Solution

The third proportional to 729,558 and 1,091,409 is: 1,632,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,558 : 1,091,409 = 1,091,409 : x
  2. Step 2: Convert to fraction form
    729,558/1,091,409 = 1,091,409/x
  3. Step 3: Cross multiply
    729,558x = 1,091,409 × 1,091,409
  4. Step 4: Simplify right side
    729,558x = 1,191,173,605,281
  5. Step 5: Solve for x
    x = 1,191,173,605,281/729,558
  6. Step 6: Final answer
    x = 1,632,733.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.