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Finding the Third Proportional to 81,366,564 and 122,806,509

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Solution

The third proportional to 81,366,564 and 122,806,509 is: 185,351,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366,564 : 122,806,509 = 122,806,509 : x
  2. Step 2: Convert to fraction form
    81,366,564/122,806,509 = 122,806,509/x
  3. Step 3: Cross multiply
    81,366,564x = 122,806,509 × 122,806,509
  4. Step 4: Simplify right side
    81,366,564x = 15,081,438,652,767,080
  5. Step 5: Solve for x
    x = 15,081,438,652,767,080/81,366,564
  6. Step 6: Final answer
    x = 185,351,794.54

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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.