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Finding the Third Proportional to 373,980 and 811,368

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Solution

The third proportional to 373,980 and 811,368 is: 1,760,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,980 : 811,368 = 811,368 : x
  2. Step 2: Convert to fraction form
    373,980/811,368 = 811,368/x
  3. Step 3: Cross multiply
    373,980x = 811,368 × 811,368
  4. Step 4: Simplify right side
    373,980x = 658,318,031,424
  5. Step 5: Solve for x
    x = 658,318,031,424/373,980
  6. Step 6: Final answer
    x = 1,760,302.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.