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Finding the Third Proportional to 416,178 and 644,037

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Solution

The third proportional to 416,178 and 644,037 is: 996,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,178 : 644,037 = 644,037 : x
  2. Step 2: Convert to fraction form
    416,178/644,037 = 644,037/x
  3. Step 3: Cross multiply
    416,178x = 644,037 × 644,037
  4. Step 4: Simplify right side
    416,178x = 414,783,657,369
  5. Step 5: Solve for x
    x = 414,783,657,369/416,178
  6. Step 6: Final answer
    x = 996,649.65

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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.