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Finding the Third Proportional to 152,018 and 228,939

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Solution

The third proportional to 152,018 and 228,939 is: 344,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,018 : 228,939 = 228,939 : x
  2. Step 2: Convert to fraction form
    152,018/228,939 = 228,939/x
  3. Step 3: Cross multiply
    152,018x = 228,939 × 228,939
  4. Step 4: Simplify right side
    152,018x = 52,413,065,721
  5. Step 5: Solve for x
    x = 52,413,065,721/152,018
  6. Step 6: Final answer
    x = 344,781.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.