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Finding the Third Proportional to 30,243 and 64,857

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Solution

The third proportional to 30,243 and 64,857 is: 139,087.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243 : 64,857 = 64,857 : x
  2. Step 2: Convert to fraction form
    30,243/64,857 = 64,857/x
  3. Step 3: Cross multiply
    30,243x = 64,857 × 64,857
  4. Step 4: Simplify right side
    30,243x = 4,206,430,449
  5. Step 5: Solve for x
    x = 4,206,430,449/30,243
  6. Step 6: Final answer
    x = 139,087.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.