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Finding the Third Proportional to 77,580 and 120,114

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Solution

The third proportional to 77,580 and 120,114 is: 185,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580 : 120,114 = 120,114 : x
  2. Step 2: Convert to fraction form
    77,580/120,114 = 120,114/x
  3. Step 3: Cross multiply
    77,580x = 120,114 × 120,114
  4. Step 4: Simplify right side
    77,580x = 14,427,372,996
  5. Step 5: Solve for x
    x = 14,427,372,996/77,580
  6. Step 6: Final answer
    x = 185,967.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.