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Finding the Third Proportional to 737,112 and 1,081,166

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Solution

The third proportional to 737,112 and 1,081,166 is: 1,585,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,112 : 1,081,166 = 1,081,166 : x
  2. Step 2: Convert to fraction form
    737,112/1,081,166 = 1,081,166/x
  3. Step 3: Cross multiply
    737,112x = 1,081,166 × 1,081,166
  4. Step 4: Simplify right side
    737,112x = 1,168,919,919,556
  5. Step 5: Solve for x
    x = 1,168,919,919,556/737,112
  6. Step 6: Final answer
    x = 1,585,810.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.