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Finding the Third Proportional to 1,897 and 4,390

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Solution

The third proportional to 1,897 and 4,390 is: 10,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897 : 4,390 = 4,390 : x
  2. Step 2: Convert to fraction form
    1,897/4,390 = 4,390/x
  3. Step 3: Cross multiply
    1,897x = 4,390 × 4,390
  4. Step 4: Simplify right side
    1,897x = 19,272,100
  5. Step 5: Solve for x
    x = 19,272,100/1,897
  6. Step 6: Final answer
    x = 10,159.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.