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Finding the Third Proportional to 138,094 and 297,328

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Solution

The third proportional to 138,094 and 297,328 is: 640,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,094 : 297,328 = 297,328 : x
  2. Step 2: Convert to fraction form
    138,094/297,328 = 297,328/x
  3. Step 3: Cross multiply
    138,094x = 297,328 × 297,328
  4. Step 4: Simplify right side
    138,094x = 88,403,939,584
  5. Step 5: Solve for x
    x = 88,403,939,584/138,094
  6. Step 6: Final answer
    x = 640,172.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.