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Finding the Third Proportional to 374,314 and 811,684

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Solution

The third proportional to 374,314 and 811,684 is: 1,760,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,314 : 811,684 = 811,684 : x
  2. Step 2: Convert to fraction form
    374,314/811,684 = 811,684/x
  3. Step 3: Cross multiply
    374,314x = 811,684 × 811,684
  4. Step 4: Simplify right side
    374,314x = 658,830,915,856
  5. Step 5: Solve for x
    x = 658,830,915,856/374,314
  6. Step 6: Final answer
    x = 1,760,102.26

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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.