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Finding the Third Proportional to 142,457 and 211,489

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Solution

The third proportional to 142,457 and 211,489 is: 313,972.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,457 : 211,489 = 211,489 : x
  2. Step 2: Convert to fraction form
    142,457/211,489 = 211,489/x
  3. Step 3: Cross multiply
    142,457x = 211,489 × 211,489
  4. Step 4: Simplify right side
    142,457x = 44,727,597,121
  5. Step 5: Solve for x
    x = 44,727,597,121/142,457
  6. Step 6: Final answer
    x = 313,972.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.