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Finding the Third Proportional to 285,655.50 and 419,643

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Solution

The third proportional to 285,655.50 and 419,643 is: 616,477.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,655.50 : 419,643 = 419,643 : x
  2. Step 2: Convert to fraction form
    285,655.50/419,643 = 419,643/x
  3. Step 3: Cross multiply
    285,655.50x = 419,643 × 419,643
  4. Step 4: Simplify right side
    285,655.50x = 176,100,247,449
  5. Step 5: Solve for x
    x = 176,100,247,449/285,655.50
  6. Step 6: Final answer
    x = 616,477.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.