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Finding the Third Proportional to 65,009,713.50 and 135,400,311

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Solution

The third proportional to 65,009,713.50 and 135,400,311 is: 282,007,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009,713.50 : 135,400,311 = 135,400,311 : x
  2. Step 2: Convert to fraction form
    65,009,713.50/135,400,311 = 135,400,311/x
  3. Step 3: Cross multiply
    65,009,713.50x = 135,400,311 × 135,400,311
  4. Step 4: Simplify right side
    65,009,713.50x = 18,333,244,218,896,720
  5. Step 5: Solve for x
    x = 18,333,244,218,896,720/65,009,713.50
  6. Step 6: Final answer
    x = 282,007,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.