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Finding the Third Proportional to 64,454 and 140,716

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Solution

The third proportional to 64,454 and 140,716 is: 307,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,454 : 140,716 = 140,716 : x
  2. Step 2: Convert to fraction form
    64,454/140,716 = 140,716/x
  3. Step 3: Cross multiply
    64,454x = 140,716 × 140,716
  4. Step 4: Simplify right side
    64,454x = 19,800,992,656
  5. Step 5: Solve for x
    x = 19,800,992,656/64,454
  6. Step 6: Final answer
    x = 307,211.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.