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Finding the Third Proportional to 129,210 and 205,060

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Solution

The third proportional to 129,210 and 205,060 is: 325,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,210 : 205,060 = 205,060 : x
  2. Step 2: Convert to fraction form
    129,210/205,060 = 205,060/x
  3. Step 3: Cross multiply
    129,210x = 205,060 × 205,060
  4. Step 4: Simplify right side
    129,210x = 42,049,603,600
  5. Step 5: Solve for x
    x = 42,049,603,600/129,210
  6. Step 6: Final answer
    x = 325,436.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.