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Finding the Third Proportional to 278,316 and 416,746

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Solution

The third proportional to 278,316 and 416,746 is: 624,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,316 : 416,746 = 416,746 : x
  2. Step 2: Convert to fraction form
    278,316/416,746 = 416,746/x
  3. Step 3: Cross multiply
    278,316x = 416,746 × 416,746
  4. Step 4: Simplify right side
    278,316x = 173,677,228,516
  5. Step 5: Solve for x
    x = 173,677,228,516/278,316
  6. Step 6: Final answer
    x = 624,028.90

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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.