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Finding the Third Proportional to 1,959.47 and 4,218.89

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Solution

The third proportional to 1,959.47 and 4,218.89 is: 9,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.47 : 4,218.89 = 4,218.89 : x
  2. Step 2: Convert to fraction form
    1,959.47/4,218.89 = 4,218.89/x
  3. Step 3: Cross multiply
    1,959.47x = 4,218.89 × 4,218.89
  4. Step 4: Simplify right side
    1,959.47x = 17,799,038.11
  5. Step 5: Solve for x
    x = 17,799,038.11/1,959.47
  6. Step 6: Final answer
    x = 9,083.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.