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Finding the Third Proportional to 356,018 and 551,073

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Solution

The third proportional to 356,018 and 551,073 is: 852,994.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,018 : 551,073 = 551,073 : x
  2. Step 2: Convert to fraction form
    356,018/551,073 = 551,073/x
  3. Step 3: Cross multiply
    356,018x = 551,073 × 551,073
  4. Step 4: Simplify right side
    356,018x = 303,681,451,329
  5. Step 5: Solve for x
    x = 303,681,451,329/356,018
  6. Step 6: Final answer
    x = 852,994.66

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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.