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Finding the Third Proportional to 137,178 and 202,077

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Solution

The third proportional to 137,178 and 202,077 is: 297,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,178 : 202,077 = 202,077 : x
  2. Step 2: Convert to fraction form
    137,178/202,077 = 202,077/x
  3. Step 3: Cross multiply
    137,178x = 202,077 × 202,077
  4. Step 4: Simplify right side
    137,178x = 40,835,113,929
  5. Step 5: Solve for x
    x = 40,835,113,929/137,178
  6. Step 6: Final answer
    x = 297,679.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.