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Finding the Third Proportional to 201,294 and 313,120

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Solution

The third proportional to 201,294 and 313,120 is: 487,069.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,294 : 313,120 = 313,120 : x
  2. Step 2: Convert to fraction form
    201,294/313,120 = 313,120/x
  3. Step 3: Cross multiply
    201,294x = 313,120 × 313,120
  4. Step 4: Simplify right side
    201,294x = 98,044,134,400
  5. Step 5: Solve for x
    x = 98,044,134,400/201,294
  6. Step 6: Final answer
    x = 487,069.33

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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.