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Finding the Third Proportional to 156,840.75 and 343,698.75

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Solution

The third proportional to 156,840.75 and 343,698.75 is: 753,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,840.75 : 343,698.75 = 343,698.75 : x
  2. Step 2: Convert to fraction form
    156,840.75/343,698.75 = 343,698.75/x
  3. Step 3: Cross multiply
    156,840.75x = 343,698.75 × 343,698.75
  4. Step 4: Simplify right side
    156,840.75x = 118,128,830,751.56
  5. Step 5: Solve for x
    x = 118,128,830,751.56/156,840.75
  6. Step 6: Final answer
    x = 753,176.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.