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Finding the Third Proportional to 129,428 and 265,126

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Solution

The third proportional to 129,428 and 265,126 is: 543,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,428 : 265,126 = 265,126 : x
  2. Step 2: Convert to fraction form
    129,428/265,126 = 265,126/x
  3. Step 3: Cross multiply
    129,428x = 265,126 × 265,126
  4. Step 4: Simplify right side
    129,428x = 70,291,795,876
  5. Step 5: Solve for x
    x = 70,291,795,876/129,428
  6. Step 6: Final answer
    x = 543,095.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.