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Finding the Third Proportional to 35,745 and 78,159

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Solution

The third proportional to 35,745 and 78,159 is: 170,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,745 : 78,159 = 78,159 : x
  2. Step 2: Convert to fraction form
    35,745/78,159 = 78,159/x
  3. Step 3: Cross multiply
    35,745x = 78,159 × 78,159
  4. Step 4: Simplify right side
    35,745x = 6,108,829,281
  5. Step 5: Solve for x
    x = 6,108,829,281/35,745
  6. Step 6: Final answer
    x = 170,900.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.