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Finding the Third Proportional to 729,243 and 1,103,928.75

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Solution

The third proportional to 729,243 and 1,103,928.75 is: 1,671,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,243 : 1,103,928.75 = 1,103,928.75 : x
  2. Step 2: Convert to fraction form
    729,243/1,103,928.75 = 1,103,928.75/x
  3. Step 3: Cross multiply
    729,243x = 1,103,928.75 × 1,103,928.75
  4. Step 4: Simplify right side
    729,243x = 1,218,658,685,076.56
  5. Step 5: Solve for x
    x = 1,218,658,685,076.56/729,243
  6. Step 6: Final answer
    x = 1,671,128.40

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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.