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Finding the Third Proportional to 374,128 and 815,360

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Solution

The third proportional to 374,128 and 815,360 is: 1,776,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,128 : 815,360 = 815,360 : x
  2. Step 2: Convert to fraction form
    374,128/815,360 = 815,360/x
  3. Step 3: Cross multiply
    374,128x = 815,360 × 815,360
  4. Step 4: Simplify right side
    374,128x = 664,811,929,600
  5. Step 5: Solve for x
    x = 664,811,929,600/374,128
  6. Step 6: Final answer
    x = 1,776,963.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.