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Finding the Third Proportional to 195,023 and 309,457

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Solution

The third proportional to 195,023 and 309,457 is: 491,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,023 : 309,457 = 309,457 : x
  2. Step 2: Convert to fraction form
    195,023/309,457 = 309,457/x
  3. Step 3: Cross multiply
    195,023x = 309,457 × 309,457
  4. Step 4: Simplify right side
    195,023x = 95,763,634,849
  5. Step 5: Solve for x
    x = 95,763,634,849/195,023
  6. Step 6: Final answer
    x = 491,037.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.