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Finding the Third Proportional to 163,142 and 361,222

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Solution

The third proportional to 163,142 and 361,222 is: 799,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,142 : 361,222 = 361,222 : x
  2. Step 2: Convert to fraction form
    163,142/361,222 = 361,222/x
  3. Step 3: Cross multiply
    163,142x = 361,222 × 361,222
  4. Step 4: Simplify right side
    163,142x = 130,481,333,284
  5. Step 5: Solve for x
    x = 130,481,333,284/163,142
  6. Step 6: Final answer
    x = 799,802.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.