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Finding the Third Proportional to 407,120 and 860,168

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Solution

The third proportional to 407,120 and 860,168 is: 1,817,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,120 : 860,168 = 860,168 : x
  2. Step 2: Convert to fraction form
    407,120/860,168 = 860,168/x
  3. Step 3: Cross multiply
    407,120x = 860,168 × 860,168
  4. Step 4: Simplify right side
    407,120x = 739,888,988,224
  5. Step 5: Solve for x
    x = 739,888,988,224/407,120
  6. Step 6: Final answer
    x = 1,817,373.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.