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Finding the Third Proportional to 390,848 and 851,678

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Solution

The third proportional to 390,848 and 851,678 is: 1,855,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,848 : 851,678 = 851,678 : x
  2. Step 2: Convert to fraction form
    390,848/851,678 = 851,678/x
  3. Step 3: Cross multiply
    390,848x = 851,678 × 851,678
  4. Step 4: Simplify right side
    390,848x = 725,355,415,684
  5. Step 5: Solve for x
    x = 725,355,415,684/390,848
  6. Step 6: Final answer
    x = 1,855,850.40

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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.