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Finding the Third Proportional to 319,890 and 679,140

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Solution

The third proportional to 319,890 and 679,140 is: 1,441,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,890 : 679,140 = 679,140 : x
  2. Step 2: Convert to fraction form
    319,890/679,140 = 679,140/x
  3. Step 3: Cross multiply
    319,890x = 679,140 × 679,140
  4. Step 4: Simplify right side
    319,890x = 461,231,139,600
  5. Step 5: Solve for x
    x = 461,231,139,600/319,890
  6. Step 6: Final answer
    x = 1,441,842.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.