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Finding the Third Proportional to 218,984,229 and 328,520,164.50

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Solution

The third proportional to 218,984,229 and 328,520,164.50 is: 492,845,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,984,229 : 328,520,164.50 = 328,520,164.50 : x
  2. Step 2: Convert to fraction form
    218,984,229/328,520,164.50 = 328,520,164.50/x
  3. Step 3: Cross multiply
    218,984,229x = 328,520,164.50 × 328,520,164.50
  4. Step 4: Simplify right side
    218,984,229x = 107,925,498,483,107,056
  5. Step 5: Solve for x
    x = 107,925,498,483,107,056/218,984,229
  6. Step 6: Final answer
    x = 492,845,987.02

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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.