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Finding the Third Proportional to 30,216 and 45,964

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Solution

The third proportional to 30,216 and 45,964 is: 69,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 45,964 = 45,964 : x
  2. Step 2: Convert to fraction form
    30,216/45,964 = 45,964/x
  3. Step 3: Cross multiply
    30,216x = 45,964 × 45,964
  4. Step 4: Simplify right side
    30,216x = 2,112,689,296
  5. Step 5: Solve for x
    x = 2,112,689,296/30,216
  6. Step 6: Final answer
    x = 69,919.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.