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Finding the Third Proportional to 144,378 and 316,656

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Solution

The third proportional to 144,378 and 316,656 is: 694,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,378 : 316,656 = 316,656 : x
  2. Step 2: Convert to fraction form
    144,378/316,656 = 316,656/x
  3. Step 3: Cross multiply
    144,378x = 316,656 × 316,656
  4. Step 4: Simplify right side
    144,378x = 100,271,022,336
  5. Step 5: Solve for x
    x = 100,271,022,336/144,378
  6. Step 6: Final answer
    x = 694,503.47

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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.