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Finding the Third Proportional to 161,948 and 355,780

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Solution

The third proportional to 161,948 and 355,780 is: 781,605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,948 : 355,780 = 355,780 : x
  2. Step 2: Convert to fraction form
    161,948/355,780 = 355,780/x
  3. Step 3: Cross multiply
    161,948x = 355,780 × 355,780
  4. Step 4: Simplify right side
    161,948x = 126,579,408,400
  5. Step 5: Solve for x
    x = 126,579,408,400/161,948
  6. Step 6: Final answer
    x = 781,605.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.