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Finding the Third Proportional to 30,218 and 45,354

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Solution

The third proportional to 30,218 and 45,354 is: 68,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218 : 45,354 = 45,354 : x
  2. Step 2: Convert to fraction form
    30,218/45,354 = 45,354/x
  3. Step 3: Cross multiply
    30,218x = 45,354 × 45,354
  4. Step 4: Simplify right side
    30,218x = 2,056,985,316
  5. Step 5: Solve for x
    x = 2,056,985,316/30,218
  6. Step 6: Final answer
    x = 68,071.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.