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Finding the Third Proportional to 218,188,432 and 338,779,135

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Solution

The third proportional to 218,188,432 and 338,779,135 is: 526,019,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,188,432 : 338,779,135 = 338,779,135 : x
  2. Step 2: Convert to fraction form
    218,188,432/338,779,135 = 338,779,135/x
  3. Step 3: Cross multiply
    218,188,432x = 338,779,135 × 338,779,135
  4. Step 4: Simplify right side
    218,188,432x = 114,771,302,311,348,224
  5. Step 5: Solve for x
    x = 114,771,302,311,348,224/218,188,432
  6. Step 6: Final answer
    x = 526,019,190.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.