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Finding the Third Proportional to 163,248 and 341,256

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Solution

The third proportional to 163,248 and 341,256 is: 713,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,248 : 341,256 = 341,256 : x
  2. Step 2: Convert to fraction form
    163,248/341,256 = 341,256/x
  3. Step 3: Cross multiply
    163,248x = 341,256 × 341,256
  4. Step 4: Simplify right side
    163,248x = 116,455,657,536
  5. Step 5: Solve for x
    x = 116,455,657,536/163,248
  6. Step 6: Final answer
    x = 713,366.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.