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Finding the Third Proportional to 54,871,912 and 84,205,200

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Solution

The third proportional to 54,871,912 and 84,205,200 is: 129,219,402.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871,912 : 84,205,200 = 84,205,200 : x
  2. Step 2: Convert to fraction form
    54,871,912/84,205,200 = 84,205,200/x
  3. Step 3: Cross multiply
    54,871,912x = 84,205,200 × 84,205,200
  4. Step 4: Simplify right side
    54,871,912x = 7,090,515,707,040,000
  5. Step 5: Solve for x
    x = 7,090,515,707,040,000/54,871,912
  6. Step 6: Final answer
    x = 129,219,402.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.