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Finding the Third Proportional to 204,104.81 and 321,810.47

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Solution

The third proportional to 204,104.81 and 321,810.47 is: 507,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,104.81 : 321,810.47 = 321,810.47 : x
  2. Step 2: Convert to fraction form
    204,104.81/321,810.47 = 321,810.47/x
  3. Step 3: Cross multiply
    204,104.81x = 321,810.47 × 321,810.47
  4. Step 4: Simplify right side
    204,104.81x = 103,561,977,797.10
  5. Step 5: Solve for x
    x = 103,561,977,797.10/204,104.81
  6. Step 6: Final answer
    x = 507,396.06

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.