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Finding the Third Proportional to 555,660 and 860,946

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Solution

The third proportional to 555,660 and 860,946 is: 1,333,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,660 : 860,946 = 860,946 : x
  2. Step 2: Convert to fraction form
    555,660/860,946 = 860,946/x
  3. Step 3: Cross multiply
    555,660x = 860,946 × 860,946
  4. Step 4: Simplify right side
    555,660x = 741,228,014,916
  5. Step 5: Solve for x
    x = 741,228,014,916/555,660
  6. Step 6: Final answer
    x = 1,333,959.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.