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Finding the Third Proportional to 398,769 and 860,151

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Solution

The third proportional to 398,769 and 860,151 is: 1,855,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,769 : 860,151 = 860,151 : x
  2. Step 2: Convert to fraction form
    398,769/860,151 = 860,151/x
  3. Step 3: Cross multiply
    398,769x = 860,151 × 860,151
  4. Step 4: Simplify right side
    398,769x = 739,859,742,801
  5. Step 5: Solve for x
    x = 739,859,742,801/398,769
  6. Step 6: Final answer
    x = 1,855,359.23

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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.