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Finding the Third Proportional to 149,020 and 319,346

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Solution

The third proportional to 149,020 and 319,346 is: 684,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,020 : 319,346 = 319,346 : x
  2. Step 2: Convert to fraction form
    149,020/319,346 = 319,346/x
  3. Step 3: Cross multiply
    149,020x = 319,346 × 319,346
  4. Step 4: Simplify right side
    149,020x = 101,981,867,716
  5. Step 5: Solve for x
    x = 101,981,867,716/149,020
  6. Step 6: Final answer
    x = 684,350.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.