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Finding the Third Proportional to 78,426 and 168,235

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Solution

The third proportional to 78,426 and 168,235 is: 360,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,426 : 168,235 = 168,235 : x
  2. Step 2: Convert to fraction form
    78,426/168,235 = 168,235/x
  3. Step 3: Cross multiply
    78,426x = 168,235 × 168,235
  4. Step 4: Simplify right side
    78,426x = 28,303,015,225
  5. Step 5: Solve for x
    x = 28,303,015,225/78,426
  6. Step 6: Final answer
    x = 360,888.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.