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Finding the Third Proportional to 262,740 and 393,570

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Solution

The third proportional to 262,740 and 393,570 is: 589,546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,740 : 393,570 = 393,570 : x
  2. Step 2: Convert to fraction form
    262,740/393,570 = 393,570/x
  3. Step 3: Cross multiply
    262,740x = 393,570 × 393,570
  4. Step 4: Simplify right side
    262,740x = 154,897,344,900
  5. Step 5: Solve for x
    x = 154,897,344,900/262,740
  6. Step 6: Final answer
    x = 589,546.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.