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Finding the Third Proportional to 74,580 and 115,221

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Solution

The third proportional to 74,580 and 115,221 is: 178,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,580 : 115,221 = 115,221 : x
  2. Step 2: Convert to fraction form
    74,580/115,221 = 115,221/x
  3. Step 3: Cross multiply
    74,580x = 115,221 × 115,221
  4. Step 4: Simplify right side
    74,580x = 13,275,878,841
  5. Step 5: Solve for x
    x = 13,275,878,841/74,580
  6. Step 6: Final answer
    x = 178,008.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.