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Finding the Third Proportional to 190,507 and 409,687

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Solution

The third proportional to 190,507 and 409,687 is: 881,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,507 : 409,687 = 409,687 : x
  2. Step 2: Convert to fraction form
    190,507/409,687 = 409,687/x
  3. Step 3: Cross multiply
    190,507x = 409,687 × 409,687
  4. Step 4: Simplify right side
    190,507x = 167,843,437,969
  5. Step 5: Solve for x
    x = 167,843,437,969/190,507
  6. Step 6: Final answer
    x = 881,035.54

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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.