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Finding the Third Proportional to 94,315,012,272 and 204,543,361,656

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Solution

The third proportional to 94,315,012,272 and 204,543,361,656 is: 443,598,381,526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,315,012,272 : 204,543,361,656 = 204,543,361,656 : x
  2. Step 2: Convert to fraction form
    94,315,012,272/204,543,361,656 = 204,543,361,656/x
  3. Step 3: Cross multiply
    94,315,012,272x = 204,543,361,656 × 204,543,361,656
  4. Step 4: Simplify right side
    94,315,012,272x = 41,837,986,797,537,214,857,216
  5. Step 5: Solve for x
    x = 41,837,986,797,537,214,857,216/94,315,012,272
  6. Step 6: Final answer
    x = 443,598,381,526.78

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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.