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Finding the Third Proportional to 130,680 and 190,728

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Solution

The third proportional to 130,680 and 190,728 is: 278,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,680 : 190,728 = 190,728 : x
  2. Step 2: Convert to fraction form
    130,680/190,728 = 190,728/x
  3. Step 3: Cross multiply
    130,680x = 190,728 × 190,728
  4. Step 4: Simplify right side
    130,680x = 36,377,169,984
  5. Step 5: Solve for x
    x = 36,377,169,984/130,680
  6. Step 6: Final answer
    x = 278,368.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.