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Finding the Third Proportional to 130,883.25 and 284,942.63

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Solution

The third proportional to 130,883.25 and 284,942.63 is: 620,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,883.25 : 284,942.63 = 284,942.63 : x
  2. Step 2: Convert to fraction form
    130,883.25/284,942.63 = 284,942.63/x
  3. Step 3: Cross multiply
    130,883.25x = 284,942.63 × 284,942.63
  4. Step 4: Simplify right side
    130,883.25x = 81,192,299,541.89
  5. Step 5: Solve for x
    x = 81,192,299,541.89/130,883.25
  6. Step 6: Final answer
    x = 620,341.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.