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Finding the Third Proportional to 201,008 and 312,580

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Solution

The third proportional to 201,008 and 312,580 is: 486,081.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,008 : 312,580 = 312,580 : x
  2. Step 2: Convert to fraction form
    201,008/312,580 = 312,580/x
  3. Step 3: Cross multiply
    201,008x = 312,580 × 312,580
  4. Step 4: Simplify right side
    201,008x = 97,706,256,400
  5. Step 5: Solve for x
    x = 97,706,256,400/201,008
  6. Step 6: Final answer
    x = 486,081.43

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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.