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Finding the Third Proportional to 142,097 and 306,343

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Solution

The third proportional to 142,097 and 306,343 is: 660,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,097 : 306,343 = 306,343 : x
  2. Step 2: Convert to fraction form
    142,097/306,343 = 306,343/x
  3. Step 3: Cross multiply
    142,097x = 306,343 × 306,343
  4. Step 4: Simplify right side
    142,097x = 93,846,033,649
  5. Step 5: Solve for x
    x = 93,846,033,649/142,097
  6. Step 6: Final answer
    x = 660,436.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.