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Finding the Third Proportional to 225,376 and 315,072

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Solution

The third proportional to 225,376 and 315,072 is: 440,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,376 : 315,072 = 315,072 : x
  2. Step 2: Convert to fraction form
    225,376/315,072 = 315,072/x
  3. Step 3: Cross multiply
    225,376x = 315,072 × 315,072
  4. Step 4: Simplify right side
    225,376x = 99,270,365,184
  5. Step 5: Solve for x
    x = 99,270,365,184/225,376
  6. Step 6: Final answer
    x = 440,465.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.