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Finding the Third Proportional to 137,980 and 301,232

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Solution

The third proportional to 137,980 and 301,232 is: 657,636.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980 : 301,232 = 301,232 : x
  2. Step 2: Convert to fraction form
    137,980/301,232 = 301,232/x
  3. Step 3: Cross multiply
    137,980x = 301,232 × 301,232
  4. Step 4: Simplify right side
    137,980x = 90,740,717,824
  5. Step 5: Solve for x
    x = 90,740,717,824/137,980
  6. Step 6: Final answer
    x = 657,636.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.