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Finding the Third Proportional to 538,727.50 and 803,420

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Solution

The third proportional to 538,727.50 and 803,420 is: 1,198,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,727.50 : 803,420 = 803,420 : x
  2. Step 2: Convert to fraction form
    538,727.50/803,420 = 803,420/x
  3. Step 3: Cross multiply
    538,727.50x = 803,420 × 803,420
  4. Step 4: Simplify right side
    538,727.50x = 645,483,696,400
  5. Step 5: Solve for x
    x = 645,483,696,400/538,727.50
  6. Step 6: Final answer
    x = 1,198,163.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.