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Finding the Third Proportional to 119,163,344.50 and 256,586,658.50

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Solution

The third proportional to 119,163,344.50 and 256,586,658.50 is: 552,491,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,163,344.50 : 256,586,658.50 = 256,586,658.50 : x
  2. Step 2: Convert to fraction form
    119,163,344.50/256,586,658.50 = 256,586,658.50/x
  3. Step 3: Cross multiply
    119,163,344.50x = 256,586,658.50 × 256,586,658.50
  4. Step 4: Simplify right side
    119,163,344.50x = 65,836,713,320,195,624
  5. Step 5: Solve for x
    x = 65,836,713,320,195,624/119,163,344.50
  6. Step 6: Final answer
    x = 552,491,318.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.