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Finding the Third Proportional to 1,450,107 and 3,110,166

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Solution

The third proportional to 1,450,107 and 3,110,166 is: 6,670,633.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,107 : 3,110,166 = 3,110,166 : x
  2. Step 2: Convert to fraction form
    1,450,107/3,110,166 = 3,110,166/x
  3. Step 3: Cross multiply
    1,450,107x = 3,110,166 × 3,110,166
  4. Step 4: Simplify right side
    1,450,107x = 9,673,132,547,556
  5. Step 5: Solve for x
    x = 9,673,132,547,556/1,450,107
  6. Step 6: Final answer
    x = 6,670,633.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.