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Finding the Third Proportional to 398,616 and 860,160

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Solution

The third proportional to 398,616 and 860,160 is: 1,856,110.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,616 : 860,160 = 860,160 : x
  2. Step 2: Convert to fraction form
    398,616/860,160 = 860,160/x
  3. Step 3: Cross multiply
    398,616x = 860,160 × 860,160
  4. Step 4: Simplify right side
    398,616x = 739,875,225,600
  5. Step 5: Solve for x
    x = 739,875,225,600/398,616
  6. Step 6: Final answer
    x = 1,856,110.21

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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.