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Finding the Third Proportional to 163,639 and 353,099

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Solution

The third proportional to 163,639 and 353,099 is: 761,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,639 : 353,099 = 353,099 : x
  2. Step 2: Convert to fraction form
    163,639/353,099 = 353,099/x
  3. Step 3: Cross multiply
    163,639x = 353,099 × 353,099
  4. Step 4: Simplify right side
    163,639x = 124,678,903,801
  5. Step 5: Solve for x
    x = 124,678,903,801/163,639
  6. Step 6: Final answer
    x = 761,914.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.