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Finding the Third Proportional to 262,089 and 392,721

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Solution

The third proportional to 262,089 and 392,721 is: 588,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,089 : 392,721 = 392,721 : x
  2. Step 2: Convert to fraction form
    262,089/392,721 = 392,721/x
  3. Step 3: Cross multiply
    262,089x = 392,721 × 392,721
  4. Step 4: Simplify right side
    262,089x = 154,229,783,841
  5. Step 5: Solve for x
    x = 154,229,783,841/262,089
  6. Step 6: Final answer
    x = 588,463.40

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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.