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Finding the Third Proportional to 160,245 and 346,187.25

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Solution

The third proportional to 160,245 and 346,187.25 is: 747,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,245 : 346,187.25 = 346,187.25 : x
  2. Step 2: Convert to fraction form
    160,245/346,187.25 = 346,187.25/x
  3. Step 3: Cross multiply
    160,245x = 346,187.25 × 346,187.25
  4. Step 4: Simplify right side
    160,245x = 119,845,612,062.56
  5. Step 5: Solve for x
    x = 119,845,612,062.56/160,245
  6. Step 6: Final answer
    x = 747,889.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.