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Finding the Third Proportional to 131,048,616 and 284,373,457.50

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Solution

The third proportional to 131,048,616 and 284,373,457.50 is: 617,085,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,048,616 : 284,373,457.50 = 284,373,457.50 : x
  2. Step 2: Convert to fraction form
    131,048,616/284,373,457.50 = 284,373,457.50/x
  3. Step 3: Cross multiply
    131,048,616x = 284,373,457.50 × 284,373,457.50
  4. Step 4: Simplify right side
    131,048,616x = 80,868,263,330,504,304
  5. Step 5: Solve for x
    x = 80,868,263,330,504,304/131,048,616
  6. Step 6: Final answer
    x = 617,085,977.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.