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Finding the Third Proportional to 202,080 and 311,545

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Solution

The third proportional to 202,080 and 311,545 is: 480,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,080 : 311,545 = 311,545 : x
  2. Step 2: Convert to fraction form
    202,080/311,545 = 311,545/x
  3. Step 3: Cross multiply
    202,080x = 311,545 × 311,545
  4. Step 4: Simplify right side
    202,080x = 97,060,287,025
  5. Step 5: Solve for x
    x = 97,060,287,025/202,080
  6. Step 6: Final answer
    x = 480,306.25

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Why These Related Problems?

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