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Finding the Third Proportional to 202,664 and 315,478

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Solution

The third proportional to 202,664 and 315,478 is: 491,090.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,664 : 315,478 = 315,478 : x
  2. Step 2: Convert to fraction form
    202,664/315,478 = 315,478/x
  3. Step 3: Cross multiply
    202,664x = 315,478 × 315,478
  4. Step 4: Simplify right side
    202,664x = 99,526,368,484
  5. Step 5: Solve for x
    x = 99,526,368,484/202,664
  6. Step 6: Final answer
    x = 491,090.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.