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Finding the Third Proportional to 4,862.63 and 10,670.63

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Solution

The third proportional to 4,862.63 and 10,670.63 is: 23,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.63 : 10,670.63 = 10,670.63 : x
  2. Step 2: Convert to fraction form
    4,862.63/10,670.63 = 10,670.63/x
  3. Step 3: Cross multiply
    4,862.63x = 10,670.63 × 10,670.63
  4. Step 4: Simplify right side
    4,862.63x = 113,862,237.89
  5. Step 5: Solve for x
    x = 113,862,237.89/4,862.63
  6. Step 6: Final answer
    x = 23,415.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.