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Finding the Third Proportional to 1,999,102.78 and 4,317,363.28

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Solution

The third proportional to 1,999,102.78 and 4,317,363.28 is: 9,323,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999,102.78 : 4,317,363.28 = 4,317,363.28 : x
  2. Step 2: Convert to fraction form
    1,999,102.78/4,317,363.28 = 4,317,363.28/x
  3. Step 3: Cross multiply
    1,999,102.78x = 4,317,363.28 × 4,317,363.28
  4. Step 4: Simplify right side
    1,999,102.78x = 18,639,625,702,285.77
  5. Step 5: Solve for x
    x = 18,639,625,702,285.77/1,999,102.78
  6. Step 6: Final answer
    x = 9,323,995.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.