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Finding the Third Proportional to 202,080 and 316,992

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Solution

The third proportional to 202,080 and 316,992 is: 497,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,080 : 316,992 = 316,992 : x
  2. Step 2: Convert to fraction form
    202,080/316,992 = 316,992/x
  3. Step 3: Cross multiply
    202,080x = 316,992 × 316,992
  4. Step 4: Simplify right side
    202,080x = 100,483,928,064
  5. Step 5: Solve for x
    x = 100,483,928,064/202,080
  6. Step 6: Final answer
    x = 497,248.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.