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Finding the Third Proportional to 2,140.95 and 4,669.95

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Solution

The third proportional to 2,140.95 and 4,669.95 is: 10,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.95 : 4,669.95 = 4,669.95 : x
  2. Step 2: Convert to fraction form
    2,140.95/4,669.95 = 4,669.95/x
  3. Step 3: Cross multiply
    2,140.95x = 4,669.95 × 4,669.95
  4. Step 4: Simplify right side
    2,140.95x = 21,808,389.22
  5. Step 5: Solve for x
    x = 21,808,389.22/2,140.95
  6. Step 6: Final answer
    x = 10,186.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.