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Finding the Third Proportional to 30,306 and 64,823

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Solution

The third proportional to 30,306 and 64,823 is: 138,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306 : 64,823 = 64,823 : x
  2. Step 2: Convert to fraction form
    30,306/64,823 = 64,823/x
  3. Step 3: Cross multiply
    30,306x = 64,823 × 64,823
  4. Step 4: Simplify right side
    30,306x = 4,202,021,329
  5. Step 5: Solve for x
    x = 4,202,021,329/30,306
  6. Step 6: Final answer
    x = 138,653.12

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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.