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Finding the Third Proportional to 147,206 and 319,306

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Solution

The third proportional to 147,206 and 319,306 is: 692,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,206 : 319,306 = 319,306 : x
  2. Step 2: Convert to fraction form
    147,206/319,306 = 319,306/x
  3. Step 3: Cross multiply
    147,206x = 319,306 × 319,306
  4. Step 4: Simplify right side
    147,206x = 101,956,321,636
  5. Step 5: Solve for x
    x = 101,956,321,636/147,206
  6. Step 6: Final answer
    x = 692,609.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.