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Finding the Third Proportional to 77,653.69 and 122,737.78

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Solution

The third proportional to 77,653.69 and 122,737.78 is: 193,996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,653.69 : 122,737.78 = 122,737.78 : x
  2. Step 2: Convert to fraction form
    77,653.69/122,737.78 = 122,737.78/x
  3. Step 3: Cross multiply
    77,653.69x = 122,737.78 × 122,737.78
  4. Step 4: Simplify right side
    77,653.69x = 15,064,562,946.17
  5. Step 5: Solve for x
    x = 15,064,562,946.17/77,653.69
  6. Step 6: Final answer
    x = 193,996.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.