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Finding the Third Proportional to 64,989 and 140,346

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Solution

The third proportional to 64,989 and 140,346 is: 303,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,989 : 140,346 = 140,346 : x
  2. Step 2: Convert to fraction form
    64,989/140,346 = 140,346/x
  3. Step 3: Cross multiply
    64,989x = 140,346 × 140,346
  4. Step 4: Simplify right side
    64,989x = 19,696,999,716
  5. Step 5: Solve for x
    x = 19,696,999,716/64,989
  6. Step 6: Final answer
    x = 303,082.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.