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Finding the Third Proportional to 76,278 and 115,403

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Solution

The third proportional to 76,278 and 115,403 is: 174,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,278 : 115,403 = 115,403 : x
  2. Step 2: Convert to fraction form
    76,278/115,403 = 115,403/x
  3. Step 3: Cross multiply
    76,278x = 115,403 × 115,403
  4. Step 4: Simplify right side
    76,278x = 13,317,852,409
  5. Step 5: Solve for x
    x = 13,317,852,409/76,278
  6. Step 6: Final answer
    x = 174,596.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.