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Finding the Third Proportional to 129,640 and 194,582

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Solution

The third proportional to 129,640 and 194,582 is: 292,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 194,582 = 194,582 : x
  2. Step 2: Convert to fraction form
    129,640/194,582 = 194,582/x
  3. Step 3: Cross multiply
    129,640x = 194,582 × 194,582
  4. Step 4: Simplify right side
    129,640x = 37,862,154,724
  5. Step 5: Solve for x
    x = 37,862,154,724/129,640
  6. Step 6: Final answer
    x = 292,056.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.