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Finding the Third Proportional to 36,312.94 and 78,657.84

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Solution

The third proportional to 36,312.94 and 78,657.84 is: 170,381.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,312.94 : 78,657.84 = 78,657.84 : x
  2. Step 2: Convert to fraction form
    36,312.94/78,657.84 = 78,657.84/x
  3. Step 3: Cross multiply
    36,312.94x = 78,657.84 × 78,657.84
  4. Step 4: Simplify right side
    36,312.94x = 6,187,056,383.40
  5. Step 5: Solve for x
    x = 6,187,056,383.40/36,312.94
  6. Step 6: Final answer
    x = 170,381.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.