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Finding the Third Proportional to 272,198 and 400,521

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Solution

The third proportional to 272,198 and 400,521 is: 589,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,198 : 400,521 = 400,521 : x
  2. Step 2: Convert to fraction form
    272,198/400,521 = 400,521/x
  3. Step 3: Cross multiply
    272,198x = 400,521 × 400,521
  4. Step 4: Simplify right side
    272,198x = 160,417,071,441
  5. Step 5: Solve for x
    x = 160,417,071,441/272,198
  6. Step 6: Final answer
    x = 589,339.64

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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.