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Finding the Third Proportional to 410,362 and 613,899

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Solution

The third proportional to 410,362 and 613,899 is: 918,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,362 : 613,899 = 613,899 : x
  2. Step 2: Convert to fraction form
    410,362/613,899 = 613,899/x
  3. Step 3: Cross multiply
    410,362x = 613,899 × 613,899
  4. Step 4: Simplify right side
    410,362x = 376,871,982,201
  5. Step 5: Solve for x
    x = 376,871,982,201/410,362
  6. Step 6: Final answer
    x = 918,389.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.