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Finding the Third Proportional to 276,144,736.13 and 428,767,345.88

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Solution

The third proportional to 276,144,736.13 and 428,767,345.88 is: 665,743,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,144,736.13 : 428,767,345.88 = 428,767,345.88 : x
  2. Step 2: Convert to fraction form
    276,144,736.13/428,767,345.88 = 428,767,345.88/x
  3. Step 3: Cross multiply
    276,144,736.13x = 428,767,345.88 × 428,767,345.88
  4. Step 4: Simplify right side
    276,144,736.13x = 183,841,436,888,691,872
  5. Step 5: Solve for x
    x = 183,841,436,888,691,872/276,144,736.13
  6. Step 6: Final answer
    x = 665,743,042.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.