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Finding the Third Proportional to 66,931 and 139,407

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Solution

The third proportional to 66,931 and 139,407 is: 290,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,931 : 139,407 = 139,407 : x
  2. Step 2: Convert to fraction form
    66,931/139,407 = 139,407/x
  3. Step 3: Cross multiply
    66,931x = 139,407 × 139,407
  4. Step 4: Simplify right side
    66,931x = 19,434,311,649
  5. Step 5: Solve for x
    x = 19,434,311,649/66,931
  6. Step 6: Final answer
    x = 290,363.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.