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Finding the Third Proportional to 85,152,877 and 133,399,841

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Solution

The third proportional to 85,152,877 and 133,399,841 is: 208,983,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,152,877 : 133,399,841 = 133,399,841 : x
  2. Step 2: Convert to fraction form
    85,152,877/133,399,841 = 133,399,841/x
  3. Step 3: Cross multiply
    85,152,877x = 133,399,841 × 133,399,841
  4. Step 4: Simplify right side
    85,152,877x = 17,795,517,578,825,280
  5. Step 5: Solve for x
    x = 17,795,517,578,825,280/85,152,877
  6. Step 6: Final answer
    x = 208,983,163.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.