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Finding the Third Proportional to 145,376 and 303,928

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Solution

The third proportional to 145,376 and 303,928 is: 635,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,376 : 303,928 = 303,928 : x
  2. Step 2: Convert to fraction form
    145,376/303,928 = 303,928/x
  3. Step 3: Cross multiply
    145,376x = 303,928 × 303,928
  4. Step 4: Simplify right side
    145,376x = 92,372,229,184
  5. Step 5: Solve for x
    x = 92,372,229,184/145,376
  6. Step 6: Final answer
    x = 635,402.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.