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Finding the Third Proportional to 282,006 and 431,928

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Solution

The third proportional to 282,006 and 431,928 is: 661,552.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,006 : 431,928 = 431,928 : x
  2. Step 2: Convert to fraction form
    282,006/431,928 = 431,928/x
  3. Step 3: Cross multiply
    282,006x = 431,928 × 431,928
  4. Step 4: Simplify right side
    282,006x = 186,561,797,184
  5. Step 5: Solve for x
    x = 186,561,797,184/282,006
  6. Step 6: Final answer
    x = 661,552.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.