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Finding the Third Proportional to 377,928 and 572,890.50

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Solution

The third proportional to 377,928 and 572,890.50 is: 868,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,928 : 572,890.50 = 572,890.50 : x
  2. Step 2: Convert to fraction form
    377,928/572,890.50 = 572,890.50/x
  3. Step 3: Cross multiply
    377,928x = 572,890.50 × 572,890.50
  4. Step 4: Simplify right side
    377,928x = 328,203,524,990.25
  5. Step 5: Solve for x
    x = 328,203,524,990.25/377,928
  6. Step 6: Final answer
    x = 868,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.