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Finding the Third Proportional to 144,783 and 222,655.50

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Solution

The third proportional to 144,783 and 222,655.50 is: 342,412.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,783 : 222,655.50 = 222,655.50 : x
  2. Step 2: Convert to fraction form
    144,783/222,655.50 = 222,655.50/x
  3. Step 3: Cross multiply
    144,783x = 222,655.50 × 222,655.50
  4. Step 4: Simplify right side
    144,783x = 49,575,471,680.25
  5. Step 5: Solve for x
    x = 49,575,471,680.25/144,783
  6. Step 6: Final answer
    x = 342,412.24

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