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Finding the Third Proportional to 77,683.50 and 163,206

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Solution

The third proportional to 77,683.50 and 163,206 is: 342,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,683.50 : 163,206 = 163,206 : x
  2. Step 2: Convert to fraction form
    77,683.50/163,206 = 163,206/x
  3. Step 3: Cross multiply
    77,683.50x = 163,206 × 163,206
  4. Step 4: Simplify right side
    77,683.50x = 26,636,198,436
  5. Step 5: Solve for x
    x = 26,636,198,436/77,683.50
  6. Step 6: Final answer
    x = 342,881.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.