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Finding the Third Proportional to 139,258 and 202,931

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Solution

The third proportional to 139,258 and 202,931 is: 295,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,258 : 202,931 = 202,931 : x
  2. Step 2: Convert to fraction form
    139,258/202,931 = 202,931/x
  3. Step 3: Cross multiply
    139,258x = 202,931 × 202,931
  4. Step 4: Simplify right side
    139,258x = 41,180,990,761
  5. Step 5: Solve for x
    x = 41,180,990,761/139,258
  6. Step 6: Final answer
    x = 295,717.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.