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Finding the Third Proportional to 405,384.75 and 636,275.25

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Solution

The third proportional to 405,384.75 and 636,275.25 is: 998,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,384.75 : 636,275.25 = 636,275.25 : x
  2. Step 2: Convert to fraction form
    405,384.75/636,275.25 = 636,275.25/x
  3. Step 3: Cross multiply
    405,384.75x = 636,275.25 × 636,275.25
  4. Step 4: Simplify right side
    405,384.75x = 404,846,193,762.56
  5. Step 5: Solve for x
    x = 404,846,193,762.56/405,384.75
  6. Step 6: Final answer
    x = 998,671.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.