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Finding the Third Proportional to 1,418.61 and 2,973.90

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Solution

The third proportional to 1,418.61 and 2,973.90 is: 6,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.61 : 2,973.90 = 2,973.90 : x
  2. Step 2: Convert to fraction form
    1,418.61/2,973.90 = 2,973.90/x
  3. Step 3: Cross multiply
    1,418.61x = 2,973.90 × 2,973.90
  4. Step 4: Simplify right side
    1,418.61x = 8,844,095.15
  5. Step 5: Solve for x
    x = 8,844,095.15/1,418.61
  6. Step 6: Final answer
    x = 6,234.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.