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Finding the Third Proportional to 238,728 and 334,656

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Solution

The third proportional to 238,728 and 334,656 is: 469,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,728 : 334,656 = 334,656 : x
  2. Step 2: Convert to fraction form
    238,728/334,656 = 334,656/x
  3. Step 3: Cross multiply
    238,728x = 334,656 × 334,656
  4. Step 4: Simplify right side
    238,728x = 111,994,638,336
  5. Step 5: Solve for x
    x = 111,994,638,336/238,728
  6. Step 6: Final answer
    x = 469,130.72

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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.