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Finding the Third Proportional to 120,405 and 190,813.50

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Solution

The third proportional to 120,405 and 190,813.50 is: 302,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405 : 190,813.50 = 190,813.50 : x
  2. Step 2: Convert to fraction form
    120,405/190,813.50 = 190,813.50/x
  3. Step 3: Cross multiply
    120,405x = 190,813.50 × 190,813.50
  4. Step 4: Simplify right side
    120,405x = 36,409,791,782.25
  5. Step 5: Solve for x
    x = 36,409,791,782.25/120,405
  6. Step 6: Final answer
    x = 302,394.35

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.