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Finding the Third Proportional to 2,142.07 and 4,455.63

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Solution

The third proportional to 2,142.07 and 4,455.63 is: 9,267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.07 : 4,455.63 = 4,455.63 : x
  2. Step 2: Convert to fraction form
    2,142.07/4,455.63 = 4,455.63/x
  3. Step 3: Cross multiply
    2,142.07x = 4,455.63 × 4,455.63
  4. Step 4: Simplify right side
    2,142.07x = 19,852,663.76
  5. Step 5: Solve for x
    x = 19,852,663.76/2,142.07
  6. Step 6: Final answer
    x = 9,267.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.