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Finding the Third Proportional to 202,196 and 317,159

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Solution

The third proportional to 202,196 and 317,159 is: 497,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,196 : 317,159 = 317,159 : x
  2. Step 2: Convert to fraction form
    202,196/317,159 = 317,159/x
  3. Step 3: Cross multiply
    202,196x = 317,159 × 317,159
  4. Step 4: Simplify right side
    202,196x = 100,589,831,281
  5. Step 5: Solve for x
    x = 100,589,831,281/202,196
  6. Step 6: Final answer
    x = 497,486.75

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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.