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Finding the Third Proportional to 370,740 and 815,208

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Solution

The third proportional to 370,740 and 815,208 is: 1,792,534.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,740 : 815,208 = 815,208 : x
  2. Step 2: Convert to fraction form
    370,740/815,208 = 815,208/x
  3. Step 3: Cross multiply
    370,740x = 815,208 × 815,208
  4. Step 4: Simplify right side
    370,740x = 664,564,083,264
  5. Step 5: Solve for x
    x = 664,564,083,264/370,740
  6. Step 6: Final answer
    x = 1,792,534.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.