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Finding the Third Proportional to 564,144 and 815,148

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Solution

The third proportional to 564,144 and 815,148 is: 1,177,830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,144 : 815,148 = 815,148 : x
  2. Step 2: Convert to fraction form
    564,144/815,148 = 815,148/x
  3. Step 3: Cross multiply
    564,144x = 815,148 × 815,148
  4. Step 4: Simplify right side
    564,144x = 664,466,261,904
  5. Step 5: Solve for x
    x = 664,466,261,904/564,144
  6. Step 6: Final answer
    x = 1,177,830.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.