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Finding the Third Proportional to 326,088 and 673,128

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Solution

The third proportional to 326,088 and 673,128 is: 1,389,506.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,088 : 673,128 = 673,128 : x
  2. Step 2: Convert to fraction form
    326,088/673,128 = 673,128/x
  3. Step 3: Cross multiply
    326,088x = 673,128 × 673,128
  4. Step 4: Simplify right side
    326,088x = 453,101,304,384
  5. Step 5: Solve for x
    x = 453,101,304,384/326,088
  6. Step 6: Final answer
    x = 1,389,506.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.