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Finding the Third Proportional to 248,243 and 531,478

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Solution

The third proportional to 248,243 and 531,478 is: 1,137,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,243 : 531,478 = 531,478 : x
  2. Step 2: Convert to fraction form
    248,243/531,478 = 531,478/x
  3. Step 3: Cross multiply
    248,243x = 531,478 × 531,478
  4. Step 4: Simplify right side
    248,243x = 282,468,864,484
  5. Step 5: Solve for x
    x = 282,468,864,484/248,243
  6. Step 6: Final answer
    x = 1,137,872.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.