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Finding the Third Proportional to 278,312 and 416,740

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Solution

The third proportional to 278,312 and 416,740 is: 624,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,312 : 416,740 = 416,740 : x
  2. Step 2: Convert to fraction form
    278,312/416,740 = 416,740/x
  3. Step 3: Cross multiply
    278,312x = 416,740 × 416,740
  4. Step 4: Simplify right side
    278,312x = 173,672,227,600
  5. Step 5: Solve for x
    x = 173,672,227,600/278,312
  6. Step 6: Final answer
    x = 624,019.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.