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Finding the Third Proportional to 94,801 and 207,457

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Solution

The third proportional to 94,801 and 207,457 is: 453,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,801 : 207,457 = 207,457 : x
  2. Step 2: Convert to fraction form
    94,801/207,457 = 207,457/x
  3. Step 3: Cross multiply
    94,801x = 207,457 × 207,457
  4. Step 4: Simplify right side
    94,801x = 43,038,406,849
  5. Step 5: Solve for x
    x = 43,038,406,849/94,801
  6. Step 6: Final answer
    x = 453,986.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.