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Finding the Third Proportional to 130,287 and 194,663

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Solution

The third proportional to 130,287 and 194,663 is: 290,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,287 : 194,663 = 194,663 : x
  2. Step 2: Convert to fraction form
    130,287/194,663 = 194,663/x
  3. Step 3: Cross multiply
    130,287x = 194,663 × 194,663
  4. Step 4: Simplify right side
    130,287x = 37,893,683,569
  5. Step 5: Solve for x
    x = 37,893,683,569/130,287
  6. Step 6: Final answer
    x = 290,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.