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Finding the Third Proportional to 803,380 and 1,101,623

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Solution

The third proportional to 803,380 and 1,101,623 is: 1,510,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,380 : 1,101,623 = 1,101,623 : x
  2. Step 2: Convert to fraction form
    803,380/1,101,623 = 1,101,623/x
  3. Step 3: Cross multiply
    803,380x = 1,101,623 × 1,101,623
  4. Step 4: Simplify right side
    803,380x = 1,213,573,234,129
  5. Step 5: Solve for x
    x = 1,213,573,234,129/803,380
  6. Step 6: Final answer
    x = 1,510,584.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.