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Finding the Third Proportional to 128,278 and 201,498

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Solution

The third proportional to 128,278 and 201,498 is: 316,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,278 : 201,498 = 201,498 : x
  2. Step 2: Convert to fraction form
    128,278/201,498 = 201,498/x
  3. Step 3: Cross multiply
    128,278x = 201,498 × 201,498
  4. Step 4: Simplify right side
    128,278x = 40,601,444,004
  5. Step 5: Solve for x
    x = 40,601,444,004/128,278
  6. Step 6: Final answer
    x = 316,511.36

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.