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Finding the Third Proportional to 190,498 and 409,670

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Solution

The third proportional to 190,498 and 409,670 is: 881,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,498 : 409,670 = 409,670 : x
  2. Step 2: Convert to fraction form
    190,498/409,670 = 409,670/x
  3. Step 3: Cross multiply
    190,498x = 409,670 × 409,670
  4. Step 4: Simplify right side
    190,498x = 167,829,508,900
  5. Step 5: Solve for x
    x = 167,829,508,900/190,498
  6. Step 6: Final answer
    x = 881,004.05

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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.