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Finding the Third Proportional to 7,809,408 and 15,999,326

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Solution

The third proportional to 7,809,408 and 15,999,326 is: 32,778,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809,408 : 15,999,326 = 15,999,326 : x
  2. Step 2: Convert to fraction form
    7,809,408/15,999,326 = 15,999,326/x
  3. Step 3: Cross multiply
    7,809,408x = 15,999,326 × 15,999,326
  4. Step 4: Simplify right side
    7,809,408x = 255,978,432,454,276
  5. Step 5: Solve for x
    x = 255,978,432,454,276/7,809,408
  6. Step 6: Final answer
    x = 32,778,212.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.