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Finding the Third Proportional to 30,303 and 64,821

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Solution

The third proportional to 30,303 and 64,821 is: 138,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,303 : 64,821 = 64,821 : x
  2. Step 2: Convert to fraction form
    30,303/64,821 = 64,821/x
  3. Step 3: Cross multiply
    30,303x = 64,821 × 64,821
  4. Step 4: Simplify right side
    30,303x = 4,201,762,041
  5. Step 5: Solve for x
    x = 4,201,762,041/30,303
  6. Step 6: Final answer
    x = 138,658.29

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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.