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Finding the Third Proportional to 66,609 and 139,376

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Solution

The third proportional to 66,609 and 139,376 is: 291,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,609 : 139,376 = 139,376 : x
  2. Step 2: Convert to fraction form
    66,609/139,376 = 139,376/x
  3. Step 3: Cross multiply
    66,609x = 139,376 × 139,376
  4. Step 4: Simplify right side
    66,609x = 19,425,669,376
  5. Step 5: Solve for x
    x = 19,425,669,376/66,609
  6. Step 6: Final answer
    x = 291,637.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.