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Finding the Third Proportional to 137,974 and 301,220

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Solution

The third proportional to 137,974 and 301,220 is: 657,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974 : 301,220 = 301,220 : x
  2. Step 2: Convert to fraction form
    137,974/301,220 = 301,220/x
  3. Step 3: Cross multiply
    137,974x = 301,220 × 301,220
  4. Step 4: Simplify right side
    137,974x = 90,733,488,400
  5. Step 5: Solve for x
    x = 90,733,488,400/137,974
  6. Step 6: Final answer
    x = 657,612.94

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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.