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Finding the Third Proportional to 137,652 and 210,426

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Solution

The third proportional to 137,652 and 210,426 is: 321,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,652 : 210,426 = 210,426 : x
  2. Step 2: Convert to fraction form
    137,652/210,426 = 210,426/x
  3. Step 3: Cross multiply
    137,652x = 210,426 × 210,426
  4. Step 4: Simplify right side
    137,652x = 44,279,101,476
  5. Step 5: Solve for x
    x = 44,279,101,476/137,652
  6. Step 6: Final answer
    x = 321,674.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.