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Finding the Third Proportional to 445,515.50 and 643,693

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Solution

The third proportional to 445,515.50 and 643,693 is: 930,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,515.50 : 643,693 = 643,693 : x
  2. Step 2: Convert to fraction form
    445,515.50/643,693 = 643,693/x
  3. Step 3: Cross multiply
    445,515.50x = 643,693 × 643,693
  4. Step 4: Simplify right side
    445,515.50x = 414,340,678,249
  5. Step 5: Solve for x
    x = 414,340,678,249/445,515.50
  6. Step 6: Final answer
    x = 930,025.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.