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Finding the Third Proportional to 66,604 and 139,328

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Solution

The third proportional to 66,604 and 139,328 is: 291,458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,604 : 139,328 = 139,328 : x
  2. Step 2: Convert to fraction form
    66,604/139,328 = 139,328/x
  3. Step 3: Cross multiply
    66,604x = 139,328 × 139,328
  4. Step 4: Simplify right side
    66,604x = 19,412,291,584
  5. Step 5: Solve for x
    x = 19,412,291,584/66,604
  6. Step 6: Final answer
    x = 291,458.34

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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.