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Finding the Third Proportional to 161,785 and 248,312

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Solution

The third proportional to 161,785 and 248,312 is: 381,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,785 : 248,312 = 248,312 : x
  2. Step 2: Convert to fraction form
    161,785/248,312 = 248,312/x
  3. Step 3: Cross multiply
    161,785x = 248,312 × 248,312
  4. Step 4: Simplify right side
    161,785x = 61,658,849,344
  5. Step 5: Solve for x
    x = 61,658,849,344/161,785
  6. Step 6: Final answer
    x = 381,115.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.