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Finding the Third Proportional to 198,973 and 429,457

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Solution

The third proportional to 198,973 and 429,457 is: 926,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,973 : 429,457 = 429,457 : x
  2. Step 2: Convert to fraction form
    198,973/429,457 = 429,457/x
  3. Step 3: Cross multiply
    198,973x = 429,457 × 429,457
  4. Step 4: Simplify right side
    198,973x = 184,433,314,849
  5. Step 5: Solve for x
    x = 184,433,314,849/198,973
  6. Step 6: Final answer
    x = 926,926.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.