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Finding the Third Proportional to 161,138 and 245,259

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Solution

The third proportional to 161,138 and 245,259 is: 373,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,138 : 245,259 = 245,259 : x
  2. Step 2: Convert to fraction form
    161,138/245,259 = 245,259/x
  3. Step 3: Cross multiply
    161,138x = 245,259 × 245,259
  4. Step 4: Simplify right side
    161,138x = 60,151,977,081
  5. Step 5: Solve for x
    x = 60,151,977,081/161,138
  6. Step 6: Final answer
    x = 373,294.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.