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Finding the Third Proportional to 77,355 and 104,368.50

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Solution

The third proportional to 77,355 and 104,368.50 is: 140,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,355 : 104,368.50 = 104,368.50 : x
  2. Step 2: Convert to fraction form
    77,355/104,368.50 = 104,368.50/x
  3. Step 3: Cross multiply
    77,355x = 104,368.50 × 104,368.50
  4. Step 4: Simplify right side
    77,355x = 10,892,783,792.25
  5. Step 5: Solve for x
    x = 10,892,783,792.25/77,355
  6. Step 6: Final answer
    x = 140,815.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.