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Finding the Third Proportional to 137,530.13 and 210,379.31

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Solution

The third proportional to 137,530.13 and 210,379.31 is: 321,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,530.13 : 210,379.31 = 210,379.31 : x
  2. Step 2: Convert to fraction form
    137,530.13/210,379.31 = 210,379.31/x
  3. Step 3: Cross multiply
    137,530.13x = 210,379.31 × 210,379.31
  4. Step 4: Simplify right side
    137,530.13x = 44,259,455,127.97
  5. Step 5: Solve for x
    x = 44,259,455,127.97/137,530.13
  6. Step 6: Final answer
    x = 321,816.44

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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.