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Finding the Third Proportional to 30,940,540 and 65,569,400

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Solution

The third proportional to 30,940,540 and 65,569,400 is: 138,955,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,940,540 : 65,569,400 = 65,569,400 : x
  2. Step 2: Convert to fraction form
    30,940,540/65,569,400 = 65,569,400/x
  3. Step 3: Cross multiply
    30,940,540x = 65,569,400 × 65,569,400
  4. Step 4: Simplify right side
    30,940,540x = 4,299,346,216,360,000
  5. Step 5: Solve for x
    x = 4,299,346,216,360,000/30,940,540
  6. Step 6: Final answer
    x = 138,955,112.50

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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.