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Finding the Third Proportional to 405,322 and 623,919

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Solution

The third proportional to 405,322 and 623,919 is: 960,409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,322 : 623,919 = 623,919 : x
  2. Step 2: Convert to fraction form
    405,322/623,919 = 623,919/x
  3. Step 3: Cross multiply
    405,322x = 623,919 × 623,919
  4. Step 4: Simplify right side
    405,322x = 389,274,918,561
  5. Step 5: Solve for x
    x = 389,274,918,561/405,322
  6. Step 6: Final answer
    x = 960,409.05

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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.