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Finding the Third Proportional to 255,118 and 531,217

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Solution

The third proportional to 255,118 and 531,217 is: 1,106,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,118 : 531,217 = 531,217 : x
  2. Step 2: Convert to fraction form
    255,118/531,217 = 531,217/x
  3. Step 3: Cross multiply
    255,118x = 531,217 × 531,217
  4. Step 4: Simplify right side
    255,118x = 282,191,501,089
  5. Step 5: Solve for x
    x = 282,191,501,089/255,118
  6. Step 6: Final answer
    x = 1,106,121.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.