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Finding the Third Proportional to 352,135,537.50 and 772,295,451

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Solution

The third proportional to 352,135,537.50 and 772,295,451 is: 1,693,780,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,135,537.50 : 772,295,451 = 772,295,451 : x
  2. Step 2: Convert to fraction form
    352,135,537.50/772,295,451 = 772,295,451/x
  3. Step 3: Cross multiply
    352,135,537.50x = 772,295,451 × 772,295,451
  4. Step 4: Simplify right side
    352,135,537.50x = 596,440,263,635,293,440
  5. Step 5: Solve for x
    x = 596,440,263,635,293,440/352,135,537.50
  6. Step 6: Final answer
    x = 1,693,780,377.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.