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Finding the Third Proportional to 319,014 and 695,980

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Solution

The third proportional to 319,014 and 695,980 is: 1,518,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,014 : 695,980 = 695,980 : x
  2. Step 2: Convert to fraction form
    319,014/695,980 = 695,980/x
  3. Step 3: Cross multiply
    319,014x = 695,980 × 695,980
  4. Step 4: Simplify right side
    319,014x = 484,388,160,400
  5. Step 5: Solve for x
    x = 484,388,160,400/319,014
  6. Step 6: Final answer
    x = 1,518,391.55

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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.