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Finding the Third Proportional to 161,424 and 354,688

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Solution

The third proportional to 161,424 and 354,688 is: 779,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,424 : 354,688 = 354,688 : x
  2. Step 2: Convert to fraction form
    161,424/354,688 = 354,688/x
  3. Step 3: Cross multiply
    161,424x = 354,688 × 354,688
  4. Step 4: Simplify right side
    161,424x = 125,803,577,344
  5. Step 5: Solve for x
    x = 125,803,577,344/161,424
  6. Step 6: Final answer
    x = 779,336.27

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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.