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Finding the Third Proportional to 65,402 and 136,726

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Solution

The third proportional to 65,402 and 136,726 is: 285,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,402 : 136,726 = 136,726 : x
  2. Step 2: Convert to fraction form
    65,402/136,726 = 136,726/x
  3. Step 3: Cross multiply
    65,402x = 136,726 × 136,726
  4. Step 4: Simplify right side
    65,402x = 18,693,999,076
  5. Step 5: Solve for x
    x = 18,693,999,076/65,402
  6. Step 6: Final answer
    x = 285,832.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.