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Finding the Third Proportional to 157,200.19 and 340,984.69

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Solution

The third proportional to 157,200.19 and 340,984.69 is: 739,633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,200.19 : 340,984.69 = 340,984.69 : x
  2. Step 2: Convert to fraction form
    157,200.19/340,984.69 = 340,984.69/x
  3. Step 3: Cross multiply
    157,200.19x = 340,984.69 × 340,984.69
  4. Step 4: Simplify right side
    157,200.19x = 116,270,557,109.47
  5. Step 5: Solve for x
    x = 116,270,557,109.47/157,200.19
  6. Step 6: Final answer
    x = 739,633.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.