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Finding the Third Proportional to 281,980 and 610,424

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Solution

The third proportional to 281,980 and 610,424 is: 1,321,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,980 : 610,424 = 610,424 : x
  2. Step 2: Convert to fraction form
    281,980/610,424 = 610,424/x
  3. Step 3: Cross multiply
    281,980x = 610,424 × 610,424
  4. Step 4: Simplify right side
    281,980x = 372,617,459,776
  5. Step 5: Solve for x
    x = 372,617,459,776/281,980
  6. Step 6: Final answer
    x = 1,321,432.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.