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Finding the Third Proportional to 374,343 and 811,740

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Solution

The third proportional to 374,343 and 811,740 is: 1,760,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,343 : 811,740 = 811,740 : x
  2. Step 2: Convert to fraction form
    374,343/811,740 = 811,740/x
  3. Step 3: Cross multiply
    374,343x = 811,740 × 811,740
  4. Step 4: Simplify right side
    374,343x = 658,921,827,600
  5. Step 5: Solve for x
    x = 658,921,827,600/374,343
  6. Step 6: Final answer
    x = 1,760,208.76

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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.