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Finding the Third Proportional to 482,888 and 1,049,736

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Solution

The third proportional to 482,888 and 1,049,736 is: 2,281,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,888 : 1,049,736 = 1,049,736 : x
  2. Step 2: Convert to fraction form
    482,888/1,049,736 = 1,049,736/x
  3. Step 3: Cross multiply
    482,888x = 1,049,736 × 1,049,736
  4. Step 4: Simplify right side
    482,888x = 1,101,945,669,696
  5. Step 5: Solve for x
    x = 1,101,945,669,696/482,888
  6. Step 6: Final answer
    x = 2,281,990.17

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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.