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Finding the Third Proportional to 64,456 and 136,656

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Solution

The third proportional to 64,456 and 136,656 is: 289,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,456 : 136,656 = 136,656 : x
  2. Step 2: Convert to fraction form
    64,456/136,656 = 136,656/x
  3. Step 3: Cross multiply
    64,456x = 136,656 × 136,656
  4. Step 4: Simplify right side
    64,456x = 18,674,862,336
  5. Step 5: Solve for x
    x = 18,674,862,336/64,456
  6. Step 6: Final answer
    x = 289,730.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.