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Finding the Third Proportional to 202,160.81 and 433,846.13

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Solution

The third proportional to 202,160.81 and 433,846.13 is: 931,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,160.81 : 433,846.13 = 433,846.13 : x
  2. Step 2: Convert to fraction form
    202,160.81/433,846.13 = 433,846.13/x
  3. Step 3: Cross multiply
    202,160.81x = 433,846.13 × 433,846.13
  4. Step 4: Simplify right side
    202,160.81x = 188,222,460,177.52
  5. Step 5: Solve for x
    x = 188,222,460,177.52/202,160.81
  6. Step 6: Final answer
    x = 931,053.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.