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Finding the Third Proportional to 120,786 and 265,465.50

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Solution

The third proportional to 120,786 and 265,465.50 is: 583,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786 : 265,465.50 = 265,465.50 : x
  2. Step 2: Convert to fraction form
    120,786/265,465.50 = 265,465.50/x
  3. Step 3: Cross multiply
    120,786x = 265,465.50 × 265,465.50
  4. Step 4: Simplify right side
    120,786x = 70,471,931,690.25
  5. Step 5: Solve for x
    x = 70,471,931,690.25/120,786
  6. Step 6: Final answer
    x = 583,444.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.