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Finding the Third Proportional to 202,335.47 and 311,808.23

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Solution

The third proportional to 202,335.47 and 311,808.23 is: 480,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,335.47 : 311,808.23 = 311,808.23 : x
  2. Step 2: Convert to fraction form
    202,335.47/311,808.23 = 311,808.23/x
  3. Step 3: Cross multiply
    202,335.47x = 311,808.23 × 311,808.23
  4. Step 4: Simplify right side
    202,335.47x = 97,224,375,024.05
  5. Step 5: Solve for x
    x = 97,224,375,024.05/202,335.47
  6. Step 6: Final answer
    x = 480,510.79

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.