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Finding the Third Proportional to 137,422.13 and 210,220.13

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Solution

The third proportional to 137,422.13 and 210,220.13 is: 321,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,422.13 : 210,220.13 = 210,220.13 : x
  2. Step 2: Convert to fraction form
    137,422.13/210,220.13 = 210,220.13/x
  3. Step 3: Cross multiply
    137,422.13x = 210,220.13 × 210,220.13
  4. Step 4: Simplify right side
    137,422.13x = 44,192,500,955.02
  5. Step 5: Solve for x
    x = 44,192,500,955.02/137,422.13
  6. Step 6: Final answer
    x = 321,582.14

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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.