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Finding the Third Proportional to 216,825,980.20 and 330,320,669.84

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Solution

The third proportional to 216,825,980.20 and 330,320,669.84 is: 503,222,652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,825,980.20 : 330,320,669.84 = 330,320,669.84 : x
  2. Step 2: Convert to fraction form
    216,825,980.20/330,320,669.84 = 330,320,669.84/x
  3. Step 3: Cross multiply
    216,825,980.20x = 330,320,669.84 × 330,320,669.84
  4. Step 4: Simplify right side
    216,825,980.20x = 109,111,744,920,850,848
  5. Step 5: Solve for x
    x = 109,111,744,920,850,848/216,825,980.20
  6. Step 6: Final answer
    x = 503,222,652.65

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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.