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Finding the Third Proportional to 35,965 and 78,365

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Solution

The third proportional to 35,965 and 78,365 is: 170,751.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965 : 78,365 = 78,365 : x
  2. Step 2: Convert to fraction form
    35,965/78,365 = 78,365/x
  3. Step 3: Cross multiply
    35,965x = 78,365 × 78,365
  4. Step 4: Simplify right side
    35,965x = 6,141,073,225
  5. Step 5: Solve for x
    x = 6,141,073,225/35,965
  6. Step 6: Final answer
    x = 170,751.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.