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Finding the Third Proportional to 91,314 and 209,709

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Solution

The third proportional to 91,314 and 209,709 is: 481,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,314 : 209,709 = 209,709 : x
  2. Step 2: Convert to fraction form
    91,314/209,709 = 209,709/x
  3. Step 3: Cross multiply
    91,314x = 209,709 × 209,709
  4. Step 4: Simplify right side
    91,314x = 43,977,864,681
  5. Step 5: Solve for x
    x = 43,977,864,681/91,314
  6. Step 6: Final answer
    x = 481,611.41

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.