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Finding the Third Proportional to 238,720 and 334,640

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Solution

The third proportional to 238,720 and 334,640 is: 469,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,720 : 334,640 = 334,640 : x
  2. Step 2: Convert to fraction form
    238,720/334,640 = 334,640/x
  3. Step 3: Cross multiply
    238,720x = 334,640 × 334,640
  4. Step 4: Simplify right side
    238,720x = 111,983,929,600
  5. Step 5: Solve for x
    x = 111,983,929,600/238,720
  6. Step 6: Final answer
    x = 469,101.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.