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Finding the Third Proportional to 201,602 and 314,660

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Solution

The third proportional to 201,602 and 314,660 is: 491,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,602 : 314,660 = 314,660 : x
  2. Step 2: Convert to fraction form
    201,602/314,660 = 314,660/x
  3. Step 3: Cross multiply
    201,602x = 314,660 × 314,660
  4. Step 4: Simplify right side
    201,602x = 99,010,915,600
  5. Step 5: Solve for x
    x = 99,010,915,600/201,602
  6. Step 6: Final answer
    x = 491,120.70

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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.