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Finding the Third Proportional to 148,582 and 217,183

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Solution

The third proportional to 148,582 and 217,183 is: 317,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,582 : 217,183 = 217,183 : x
  2. Step 2: Convert to fraction form
    148,582/217,183 = 217,183/x
  3. Step 3: Cross multiply
    148,582x = 217,183 × 217,183
  4. Step 4: Simplify right side
    148,582x = 47,168,455,489
  5. Step 5: Solve for x
    x = 47,168,455,489/148,582
  6. Step 6: Final answer
    x = 317,457.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.