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Finding the Third Proportional to 209,985.75 and 324,263.25

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Solution

The third proportional to 209,985.75 and 324,263.25 is: 500,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,985.75 : 324,263.25 = 324,263.25 : x
  2. Step 2: Convert to fraction form
    209,985.75/324,263.25 = 324,263.25/x
  3. Step 3: Cross multiply
    209,985.75x = 324,263.25 × 324,263.25
  4. Step 4: Simplify right side
    209,985.75x = 105,146,655,300.56
  5. Step 5: Solve for x
    x = 105,146,655,300.56/209,985.75
  6. Step 6: Final answer
    x = 500,732.34

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Why These Related Problems?

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