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Finding the Third Proportional to 128,301 and 201,263

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Solution

The third proportional to 128,301 and 201,263 is: 315,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,301 : 201,263 = 201,263 : x
  2. Step 2: Convert to fraction form
    128,301/201,263 = 201,263/x
  3. Step 3: Cross multiply
    128,301x = 201,263 × 201,263
  4. Step 4: Simplify right side
    128,301x = 40,506,795,169
  5. Step 5: Solve for x
    x = 40,506,795,169/128,301
  6. Step 6: Final answer
    x = 315,716.91

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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.