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Finding the Third Proportional to 30,940,411.50 and 65,569,077

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Solution

The third proportional to 30,940,411.50 and 65,569,077 is: 138,954,320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,411.50 : 65,569,077 = 65,569,077 : x
  2. Step 2: Convert to fraction form
    30,940,411.50/65,569,077 = 65,569,077/x
  3. Step 3: Cross multiply
    30,940,411.50x = 65,569,077 × 65,569,077
  4. Step 4: Simplify right side
    30,940,411.50x = 4,299,303,858,631,929
  5. Step 5: Solve for x
    x = 4,299,303,858,631,929/30,940,411.50
  6. Step 6: Final answer
    x = 138,954,320.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.