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Finding the Third Proportional to 421,139,469 and 908,866,800.75

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Solution

The third proportional to 421,139,469 and 908,866,800.75 is: 1,961,437,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,139,469 : 908,866,800.75 = 908,866,800.75 : x
  2. Step 2: Convert to fraction form
    421,139,469/908,866,800.75 = 908,866,800.75/x
  3. Step 3: Cross multiply
    421,139,469x = 908,866,800.75 × 908,866,800.75
  4. Step 4: Simplify right side
    421,139,469x = 826,038,861,505,540,224
  5. Step 5: Solve for x
    x = 826,038,861,505,540,224/421,139,469
  6. Step 6: Final answer
    x = 1,961,437,771.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.