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Finding the Third Proportional to 393,911.25 and 617,281.88

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Solution

The third proportional to 393,911.25 and 617,281.88 is: 967,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,911.25 : 617,281.88 = 617,281.88 : x
  2. Step 2: Convert to fraction form
    393,911.25/617,281.88 = 617,281.88/x
  3. Step 3: Cross multiply
    393,911.25x = 617,281.88 × 617,281.88
  4. Step 4: Simplify right side
    393,911.25x = 381,036,913,203.52
  5. Step 5: Solve for x
    x = 381,036,913,203.52/393,911.25
  6. Step 6: Final answer
    x = 967,316.66

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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.