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Finding the Third Proportional to 77,043 and 118,255.50

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Solution

The third proportional to 77,043 and 118,255.50 is: 181,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,043 : 118,255.50 = 118,255.50 : x
  2. Step 2: Convert to fraction form
    77,043/118,255.50 = 118,255.50/x
  3. Step 3: Cross multiply
    77,043x = 118,255.50 × 118,255.50
  4. Step 4: Simplify right side
    77,043x = 13,984,363,280.25
  5. Step 5: Solve for x
    x = 13,984,363,280.25/77,043
  6. Step 6: Final answer
    x = 181,513.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.