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Finding the Third Proportional to 142,612.31 and 305,467.88

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Solution

The third proportional to 142,612.31 and 305,467.88 is: 654,295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612.31 : 305,467.88 = 305,467.88 : x
  2. Step 2: Convert to fraction form
    142,612.31/305,467.88 = 305,467.88/x
  3. Step 3: Cross multiply
    142,612.31x = 305,467.88 × 305,467.88
  4. Step 4: Simplify right side
    142,612.31x = 93,310,622,657.02
  5. Step 5: Solve for x
    x = 93,310,622,657.02/142,612.31
  6. Step 6: Final answer
    x = 654,295.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.