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Finding the Third Proportional to 64,840 and 143,288

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Solution

The third proportional to 64,840 and 143,288 is: 316,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840 : 143,288 = 143,288 : x
  2. Step 2: Convert to fraction form
    64,840/143,288 = 143,288/x
  3. Step 3: Cross multiply
    64,840x = 143,288 × 143,288
  4. Step 4: Simplify right side
    64,840x = 20,531,450,944
  5. Step 5: Solve for x
    x = 20,531,450,944/64,840
  6. Step 6: Final answer
    x = 316,647.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.