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Finding the Third Proportional to 30,469,803.75 and 65,909,428.50

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Solution

The third proportional to 30,469,803.75 and 65,909,428.50 is: 142,569,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469,803.75 : 65,909,428.50 = 65,909,428.50 : x
  2. Step 2: Convert to fraction form
    30,469,803.75/65,909,428.50 = 65,909,428.50/x
  3. Step 3: Cross multiply
    30,469,803.75x = 65,909,428.50 × 65,909,428.50
  4. Step 4: Simplify right side
    30,469,803.75x = 4,344,052,765,196,612
  5. Step 5: Solve for x
    x = 4,344,052,765,196,612/30,469,803.75
  6. Step 6: Final answer
    x = 142,569,108.78

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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.