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Finding the Third Proportional to 139,484 and 202,746

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Solution

The third proportional to 139,484 and 202,746 is: 294,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,484 : 202,746 = 202,746 : x
  2. Step 2: Convert to fraction form
    139,484/202,746 = 202,746/x
  3. Step 3: Cross multiply
    139,484x = 202,746 × 202,746
  4. Step 4: Simplify right side
    139,484x = 41,105,940,516
  5. Step 5: Solve for x
    x = 41,105,940,516/139,484
  6. Step 6: Final answer
    x = 294,700.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.