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Finding the Third Proportional to 81,366,579 and 122,806,531.69

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Solution

The third proportional to 81,366,579 and 122,806,531.69 is: 185,351,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366,579 : 122,806,531.69 = 122,806,531.69 : x
  2. Step 2: Convert to fraction form
    81,366,579/122,806,531.69 = 122,806,531.69/x
  3. Step 3: Cross multiply
    81,366,579x = 122,806,531.69 × 122,806,531.69
  4. Step 4: Simplify right side
    81,366,579x = 15,081,444,225,112,942
  5. Step 5: Solve for x
    x = 15,081,444,225,112,942/81,366,579
  6. Step 6: Final answer
    x = 185,351,828.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.