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Finding the Third Proportional to 201,282 and 318,326

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Solution

The third proportional to 201,282 and 318,326 is: 503,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,282 : 318,326 = 318,326 : x
  2. Step 2: Convert to fraction form
    201,282/318,326 = 318,326/x
  3. Step 3: Cross multiply
    201,282x = 318,326 × 318,326
  4. Step 4: Simplify right side
    201,282x = 101,331,442,276
  5. Step 5: Solve for x
    x = 101,331,442,276/201,282
  6. Step 6: Final answer
    x = 503,430.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.