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Finding the Third Proportional to 638,296 and 988,358

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Solution

The third proportional to 638,296 and 988,358 is: 1,530,405.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,296 : 988,358 = 988,358 : x
  2. Step 2: Convert to fraction form
    638,296/988,358 = 988,358/x
  3. Step 3: Cross multiply
    638,296x = 988,358 × 988,358
  4. Step 4: Simplify right side
    638,296x = 976,851,536,164
  5. Step 5: Solve for x
    x = 976,851,536,164/638,296
  6. Step 6: Final answer
    x = 1,530,405.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.