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Finding the Third Proportional to 262,467 and 393,621.19

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Solution

The third proportional to 262,467 and 393,621.19 is: 590,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,467 : 393,621.19 = 393,621.19 : x
  2. Step 2: Convert to fraction form
    262,467/393,621.19 = 393,621.19/x
  3. Step 3: Cross multiply
    262,467x = 393,621.19 × 393,621.19
  4. Step 4: Simplify right side
    262,467x = 154,937,639,248.91
  5. Step 5: Solve for x
    x = 154,937,639,248.91/262,467
  6. Step 6: Final answer
    x = 590,312.84

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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.