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Finding the Third Proportional to 135,730.69 and 292,272.05

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Solution

The third proportional to 135,730.69 and 292,272.05 is: 629,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,730.69 : 292,272.05 = 292,272.05 : x
  2. Step 2: Convert to fraction form
    135,730.69/292,272.05 = 292,272.05/x
  3. Step 3: Cross multiply
    135,730.69x = 292,272.05 × 292,272.05
  4. Step 4: Simplify right side
    135,730.69x = 85,422,949,384.50
  5. Step 5: Solve for x
    x = 85,422,949,384.50/135,730.69
  6. Step 6: Final answer
    x = 629,356.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.