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Finding the Third Proportional to 216,753,940 and 330,212,480

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Solution

The third proportional to 216,753,940 and 330,212,480 is: 503,060,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,753,940 : 330,212,480 = 330,212,480 : x
  2. Step 2: Convert to fraction form
    216,753,940/330,212,480 = 330,212,480/x
  3. Step 3: Cross multiply
    216,753,940x = 330,212,480 × 330,212,480
  4. Step 4: Simplify right side
    216,753,940x = 109,040,281,947,750,400
  5. Step 5: Solve for x
    x = 109,040,281,947,750,400/216,753,940
  6. Step 6: Final answer
    x = 503,060,207.11

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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.