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Finding the Third Proportional to 137,400 and 301,368

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Solution

The third proportional to 137,400 and 301,368 is: 661,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400 : 301,368 = 301,368 : x
  2. Step 2: Convert to fraction form
    137,400/301,368 = 301,368/x
  3. Step 3: Cross multiply
    137,400x = 301,368 × 301,368
  4. Step 4: Simplify right side
    137,400x = 90,822,671,424
  5. Step 5: Solve for x
    x = 90,822,671,424/137,400
  6. Step 6: Final answer
    x = 661,009.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.