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Finding the Third Proportional to 326,211.75 and 390,822.75

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Solution

The third proportional to 326,211.75 and 390,822.75 is: 468,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,211.75 : 390,822.75 = 390,822.75 : x
  2. Step 2: Convert to fraction form
    326,211.75/390,822.75 = 390,822.75/x
  3. Step 3: Cross multiply
    326,211.75x = 390,822.75 × 390,822.75
  4. Step 4: Simplify right side
    326,211.75x = 152,742,421,917.56
  5. Step 5: Solve for x
    x = 152,742,421,917.56/326,211.75
  6. Step 6: Final answer
    x = 468,230.90

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.