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Finding the Third Proportional to 94,853,136 and 204,086,688

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Solution

The third proportional to 94,853,136 and 204,086,688 is: 439,114,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,853,136 : 204,086,688 = 204,086,688 : x
  2. Step 2: Convert to fraction form
    94,853,136/204,086,688 = 204,086,688/x
  3. Step 3: Cross multiply
    94,853,136x = 204,086,688 × 204,086,688
  4. Step 4: Simplify right side
    94,853,136x = 41,651,376,218,809,344
  5. Step 5: Solve for x
    x = 41,651,376,218,809,344/94,853,136
  6. Step 6: Final answer
    x = 439,114,382.25

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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.