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Finding the Third Proportional to 278,148 and 377,840

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Solution

The third proportional to 278,148 and 377,840 is: 513,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,148 : 377,840 = 377,840 : x
  2. Step 2: Convert to fraction form
    278,148/377,840 = 377,840/x
  3. Step 3: Cross multiply
    278,148x = 377,840 × 377,840
  4. Step 4: Simplify right side
    278,148x = 142,763,065,600
  5. Step 5: Solve for x
    x = 142,763,065,600/278,148
  6. Step 6: Final answer
    x = 513,262.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.