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Finding the Third Proportional to 97,857 and 215,946

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Solution

The third proportional to 97,857 and 215,946 is: 476,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,857 : 215,946 = 215,946 : x
  2. Step 2: Convert to fraction form
    97,857/215,946 = 215,946/x
  3. Step 3: Cross multiply
    97,857x = 215,946 × 215,946
  4. Step 4: Simplify right side
    97,857x = 46,632,674,916
  5. Step 5: Solve for x
    x = 46,632,674,916/97,857
  6. Step 6: Final answer
    x = 476,538.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.