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Finding the Third Proportional to 390,999 and 851,979

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Solution

The third proportional to 390,999 and 851,979 is: 1,856,445.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,999 : 851,979 = 851,979 : x
  2. Step 2: Convert to fraction form
    390,999/851,979 = 851,979/x
  3. Step 3: Cross multiply
    390,999x = 851,979 × 851,979
  4. Step 4: Simplify right side
    390,999x = 725,868,216,441
  5. Step 5: Solve for x
    x = 725,868,216,441/390,999
  6. Step 6: Final answer
    x = 1,856,445.20

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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.