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Finding the Third Proportional to 284,854.50 and 440,928

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Solution

The third proportional to 284,854.50 and 440,928 is: 682,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,854.50 : 440,928 = 440,928 : x
  2. Step 2: Convert to fraction form
    284,854.50/440,928 = 440,928/x
  3. Step 3: Cross multiply
    284,854.50x = 440,928 × 440,928
  4. Step 4: Simplify right side
    284,854.50x = 194,417,501,184
  5. Step 5: Solve for x
    x = 194,417,501,184/284,854.50
  6. Step 6: Final answer
    x = 682,515.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.