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Finding the Third Proportional to 190,520 and 402,424

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Solution

The third proportional to 190,520 and 402,424 is: 850,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,520 : 402,424 = 402,424 : x
  2. Step 2: Convert to fraction form
    190,520/402,424 = 402,424/x
  3. Step 3: Cross multiply
    190,520x = 402,424 × 402,424
  4. Step 4: Simplify right side
    190,520x = 161,945,075,776
  5. Step 5: Solve for x
    x = 161,945,075,776/190,520
  6. Step 6: Final answer
    x = 850,016.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.