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Finding the Third Proportional to 129,428 and 201,054

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Solution

The third proportional to 129,428 and 201,054 is: 312,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,428 : 201,054 = 201,054 : x
  2. Step 2: Convert to fraction form
    129,428/201,054 = 201,054/x
  3. Step 3: Cross multiply
    129,428x = 201,054 × 201,054
  4. Step 4: Simplify right side
    129,428x = 40,422,710,916
  5. Step 5: Solve for x
    x = 40,422,710,916/129,428
  6. Step 6: Final answer
    x = 312,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.