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Finding the Third Proportional to 390,762 and 851,505

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Solution

The third proportional to 390,762 and 851,505 is: 1,855,504.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,762 : 851,505 = 851,505 : x
  2. Step 2: Convert to fraction form
    390,762/851,505 = 851,505/x
  3. Step 3: Cross multiply
    390,762x = 851,505 × 851,505
  4. Step 4: Simplify right side
    390,762x = 725,060,765,025
  5. Step 5: Solve for x
    x = 725,060,765,025/390,762
  6. Step 6: Final answer
    x = 1,855,504.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.