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Finding the Third Proportional to 224,359,288.50 and 335,642,064.75

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Solution

The third proportional to 224,359,288.50 and 335,642,064.75 is: 502,121,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,359,288.50 : 335,642,064.75 = 335,642,064.75 : x
  2. Step 2: Convert to fraction form
    224,359,288.50/335,642,064.75 = 335,642,064.75/x
  3. Step 3: Cross multiply
    224,359,288.50x = 335,642,064.75 × 335,642,064.75
  4. Step 4: Simplify right side
    224,359,288.50x = 112,655,595,629,643,200
  5. Step 5: Solve for x
    x = 112,655,595,629,643,200/224,359,288.50
  6. Step 6: Final answer
    x = 502,121,380.32

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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.