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Finding the Third Proportional to 262,000 and 392,595

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Solution

The third proportional to 262,000 and 392,595 is: 588,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,000 : 392,595 = 392,595 : x
  2. Step 2: Convert to fraction form
    262,000/392,595 = 392,595/x
  3. Step 3: Cross multiply
    262,000x = 392,595 × 392,595
  4. Step 4: Simplify right side
    262,000x = 154,130,834,025
  5. Step 5: Solve for x
    x = 154,130,834,025/262,000
  6. Step 6: Final answer
    x = 588,285.63

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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.