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Finding the Third Proportional to 128,534 and 201,006

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Solution

The third proportional to 128,534 and 201,006 is: 314,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534 : 201,006 = 201,006 : x
  2. Step 2: Convert to fraction form
    128,534/201,006 = 201,006/x
  3. Step 3: Cross multiply
    128,534x = 201,006 × 201,006
  4. Step 4: Simplify right side
    128,534x = 40,403,412,036
  5. Step 5: Solve for x
    x = 40,403,412,036/128,534
  6. Step 6: Final answer
    x = 314,340.27

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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.