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Finding the Third Proportional to 152,916 and 211,302

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Solution

The third proportional to 152,916 and 211,302 is: 291,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,916 : 211,302 = 211,302 : x
  2. Step 2: Convert to fraction form
    152,916/211,302 = 211,302/x
  3. Step 3: Cross multiply
    152,916x = 211,302 × 211,302
  4. Step 4: Simplify right side
    152,916x = 44,648,535,204
  5. Step 5: Solve for x
    x = 44,648,535,204/152,916
  6. Step 6: Final answer
    x = 291,980.79

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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.