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Finding the Third Proportional to 211,688 and 291,612

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Solution

The third proportional to 211,688 and 291,612 is: 401,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,688 : 291,612 = 291,612 : x
  2. Step 2: Convert to fraction form
    211,688/291,612 = 291,612/x
  3. Step 3: Cross multiply
    211,688x = 291,612 × 291,612
  4. Step 4: Simplify right side
    211,688x = 85,037,558,544
  5. Step 5: Solve for x
    x = 85,037,558,544/211,688
  6. Step 6: Final answer
    x = 401,711.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.