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Finding the Third Proportional to 374,305 and 811,669

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Solution

The third proportional to 374,305 and 811,669 is: 1,760,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,305 : 811,669 = 811,669 : x
  2. Step 2: Convert to fraction form
    374,305/811,669 = 811,669/x
  3. Step 3: Cross multiply
    374,305x = 811,669 × 811,669
  4. Step 4: Simplify right side
    374,305x = 658,806,565,561
  5. Step 5: Solve for x
    x = 658,806,565,561/374,305
  6. Step 6: Final answer
    x = 1,760,079.52

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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.