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Finding the Third Proportional to 434,593 and 660,780.75

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Solution

The third proportional to 434,593 and 660,780.75 is: 1,004,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,593 : 660,780.75 = 660,780.75 : x
  2. Step 2: Convert to fraction form
    434,593/660,780.75 = 660,780.75/x
  3. Step 3: Cross multiply
    434,593x = 660,780.75 × 660,780.75
  4. Step 4: Simplify right side
    434,593x = 436,631,199,570.56
  5. Step 5: Solve for x
    x = 436,631,199,570.56/434,593
  6. Step 6: Final answer
    x = 1,004,689.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.