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Finding the Third Proportional to 64,403 and 140,260

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Solution

The third proportional to 64,403 and 140,260 is: 305,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,403 : 140,260 = 140,260 : x
  2. Step 2: Convert to fraction form
    64,403/140,260 = 140,260/x
  3. Step 3: Cross multiply
    64,403x = 140,260 × 140,260
  4. Step 4: Simplify right side
    64,403x = 19,672,867,600
  5. Step 5: Solve for x
    x = 19,672,867,600/64,403
  6. Step 6: Final answer
    x = 305,465.08

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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.