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Finding the Third Proportional to 94,853,160 and 204,086,736

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Solution

The third proportional to 94,853,160 and 204,086,736 is: 439,114,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,853,160 : 204,086,736 = 204,086,736 : x
  2. Step 2: Convert to fraction form
    94,853,160/204,086,736 = 204,086,736/x
  3. Step 3: Cross multiply
    94,853,160x = 204,086,736 × 204,086,736
  4. Step 4: Simplify right side
    94,853,160x = 41,651,395,811,133,696
  5. Step 5: Solve for x
    x = 41,651,395,811,133,696/94,853,160
  6. Step 6: Final answer
    x = 439,114,477.70

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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.