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Finding the Third Proportional to 161,638 and 353,371

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Solution

The third proportional to 161,638 and 353,371 is: 772,535.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,638 : 353,371 = 353,371 : x
  2. Step 2: Convert to fraction form
    161,638/353,371 = 353,371/x
  3. Step 3: Cross multiply
    161,638x = 353,371 × 353,371
  4. Step 4: Simplify right side
    161,638x = 124,871,063,641
  5. Step 5: Solve for x
    x = 124,871,063,641/161,638
  6. Step 6: Final answer
    x = 772,535.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.