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Finding the Third Proportional to 262,078 and 392,708

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Solution

The third proportional to 262,078 and 392,708 is: 588,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,078 : 392,708 = 392,708 : x
  2. Step 2: Convert to fraction form
    262,078/392,708 = 392,708/x
  3. Step 3: Cross multiply
    262,078x = 392,708 × 392,708
  4. Step 4: Simplify right side
    262,078x = 154,219,573,264
  5. Step 5: Solve for x
    x = 154,219,573,264/262,078
  6. Step 6: Final answer
    x = 588,449.14

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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.