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Finding the Third Proportional to 163,802.25 and 246,240

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Solution

The third proportional to 163,802.25 and 246,240 is: 370,166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,802.25 : 246,240 = 246,240 : x
  2. Step 2: Convert to fraction form
    163,802.25/246,240 = 246,240/x
  3. Step 3: Cross multiply
    163,802.25x = 246,240 × 246,240
  4. Step 4: Simplify right side
    163,802.25x = 60,634,137,600
  5. Step 5: Solve for x
    x = 60,634,137,600/163,802.25
  6. Step 6: Final answer
    x = 370,166.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.