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Finding the Third Proportional to 149,260 and 315,368

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Solution

The third proportional to 149,260 and 315,368 is: 666,333.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,260 : 315,368 = 315,368 : x
  2. Step 2: Convert to fraction form
    149,260/315,368 = 315,368/x
  3. Step 3: Cross multiply
    149,260x = 315,368 × 315,368
  4. Step 4: Simplify right side
    149,260x = 99,456,975,424
  5. Step 5: Solve for x
    x = 99,456,975,424/149,260
  6. Step 6: Final answer
    x = 666,333.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.