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Finding the Third Proportional to 120,594 and 138,114

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Solution

The third proportional to 120,594 and 138,114 is: 158,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594 : 138,114 = 138,114 : x
  2. Step 2: Convert to fraction form
    120,594/138,114 = 138,114/x
  3. Step 3: Cross multiply
    120,594x = 138,114 × 138,114
  4. Step 4: Simplify right side
    120,594x = 19,075,476,996
  5. Step 5: Solve for x
    x = 19,075,476,996/120,594
  6. Step 6: Final answer
    x = 158,179.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.