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Finding the Third Proportional to 428,934,126 and 642,824,914.50

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Solution

The third proportional to 428,934,126 and 642,824,914.50 is: 963,373,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,934,126 : 642,824,914.50 = 642,824,914.50 : x
  2. Step 2: Convert to fraction form
    428,934,126/642,824,914.50 = 642,824,914.50/x
  3. Step 3: Cross multiply
    428,934,126x = 642,824,914.50 × 642,824,914.50
  4. Step 4: Simplify right side
    428,934,126x = 413,223,870,701,932,288
  5. Step 5: Solve for x
    x = 413,223,870,701,932,288/428,934,126
  6. Step 6: Final answer
    x = 963,373,734.23

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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.