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Finding the Third Proportional to 202,080 and 313,758

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Solution

The third proportional to 202,080 and 313,758 is: 487,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,080 : 313,758 = 313,758 : x
  2. Step 2: Convert to fraction form
    202,080/313,758 = 313,758/x
  3. Step 3: Cross multiply
    202,080x = 313,758 × 313,758
  4. Step 4: Simplify right side
    202,080x = 98,444,082,564
  5. Step 5: Solve for x
    x = 98,444,082,564/202,080
  6. Step 6: Final answer
    x = 487,154.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.