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Finding the Third Proportional to 66,964 and 139,484

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Solution

The third proportional to 66,964 and 139,484 is: 290,540.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964 : 139,484 = 139,484 : x
  2. Step 2: Convert to fraction form
    66,964/139,484 = 139,484/x
  3. Step 3: Cross multiply
    66,964x = 139,484 × 139,484
  4. Step 4: Simplify right side
    66,964x = 19,455,786,256
  5. Step 5: Solve for x
    x = 19,455,786,256/66,964
  6. Step 6: Final answer
    x = 290,540.98

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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.