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Finding the Third Proportional to 149,905 and 319,231

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Solution

The third proportional to 149,905 and 319,231 is: 679,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,905 : 319,231 = 319,231 : x
  2. Step 2: Convert to fraction form
    149,905/319,231 = 319,231/x
  3. Step 3: Cross multiply
    149,905x = 319,231 × 319,231
  4. Step 4: Simplify right side
    149,905x = 101,908,431,361
  5. Step 5: Solve for x
    x = 101,908,431,361/149,905
  6. Step 6: Final answer
    x = 679,820.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.