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Finding the Third Proportional to 190,304 and 409,840

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Solution

The third proportional to 190,304 and 409,840 is: 882,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,304 : 409,840 = 409,840 : x
  2. Step 2: Convert to fraction form
    190,304/409,840 = 409,840/x
  3. Step 3: Cross multiply
    190,304x = 409,840 × 409,840
  4. Step 4: Simplify right side
    190,304x = 167,968,825,600
  5. Step 5: Solve for x
    x = 167,968,825,600/190,304
  6. Step 6: Final answer
    x = 882,634.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.