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Finding the Third Proportional to 406.31 and 848.06

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Solution

The third proportional to 406.31 and 848.06 is: 1,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.31 : 848.06 = 848.06 : x
  2. Step 2: Convert to fraction form
    406.31/848.06 = 848.06/x
  3. Step 3: Cross multiply
    406.31x = 848.06 × 848.06
  4. Step 4: Simplify right side
    406.31x = 719,210.00
  5. Step 5: Solve for x
    x = 719,210.00/406.31
  6. Step 6: Final answer
    x = 1,770.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.