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Finding the Third Proportional to 434,324 and 664,403

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Solution

The third proportional to 434,324 and 664,403 is: 1,016,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,324 : 664,403 = 664,403 : x
  2. Step 2: Convert to fraction form
    434,324/664,403 = 664,403/x
  3. Step 3: Cross multiply
    434,324x = 664,403 × 664,403
  4. Step 4: Simplify right side
    434,324x = 441,431,346,409
  5. Step 5: Solve for x
    x = 441,431,346,409/434,324
  6. Step 6: Final answer
    x = 1,016,364.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.