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Finding the Third Proportional to 131,181.75 and 278,128.13

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Solution

The third proportional to 131,181.75 and 278,128.13 is: 589,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,181.75 : 278,128.13 = 278,128.13 : x
  2. Step 2: Convert to fraction form
    131,181.75/278,128.13 = 278,128.13/x
  3. Step 3: Cross multiply
    131,181.75x = 278,128.13 × 278,128.13
  4. Step 4: Simplify right side
    131,181.75x = 77,355,253,916.02
  5. Step 5: Solve for x
    x = 77,355,253,916.02/131,181.75
  6. Step 6: Final answer
    x = 589,680.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.