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Finding the Third Proportional to 143,905 and 308,953

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Solution

The third proportional to 143,905 and 308,953 is: 663,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,905 : 308,953 = 308,953 : x
  2. Step 2: Convert to fraction form
    143,905/308,953 = 308,953/x
  3. Step 3: Cross multiply
    143,905x = 308,953 × 308,953
  4. Step 4: Simplify right side
    143,905x = 95,451,956,209
  5. Step 5: Solve for x
    x = 95,451,956,209/143,905
  6. Step 6: Final answer
    x = 663,298.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.