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Finding the Third Proportional to 326,430 and 712,638

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Solution

The third proportional to 326,430 and 712,638 is: 1,555,778.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,430 : 712,638 = 712,638 : x
  2. Step 2: Convert to fraction form
    326,430/712,638 = 712,638/x
  3. Step 3: Cross multiply
    326,430x = 712,638 × 712,638
  4. Step 4: Simplify right side
    326,430x = 507,852,919,044
  5. Step 5: Solve for x
    x = 507,852,919,044/326,430
  6. Step 6: Final answer
    x = 1,555,778.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.