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Finding the Third Proportional to 43,356 and 77,689.50

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Solution

The third proportional to 43,356 and 77,689.50 is: 139,211.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,356 : 77,689.50 = 77,689.50 : x
  2. Step 2: Convert to fraction form
    43,356/77,689.50 = 77,689.50/x
  3. Step 3: Cross multiply
    43,356x = 77,689.50 × 77,689.50
  4. Step 4: Simplify right side
    43,356x = 6,035,658,410.25
  5. Step 5: Solve for x
    x = 6,035,658,410.25/43,356
  6. Step 6: Final answer
    x = 139,211.61

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.