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Finding the Third Proportional to 2,520 and 5,386.50

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Solution

The third proportional to 2,520 and 5,386.50 is: 11,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520 : 5,386.50 = 5,386.50 : x
  2. Step 2: Convert to fraction form
    2,520/5,386.50 = 5,386.50/x
  3. Step 3: Cross multiply
    2,520x = 5,386.50 × 5,386.50
  4. Step 4: Simplify right side
    2,520x = 29,014,382.25
  5. Step 5: Solve for x
    x = 29,014,382.25/2,520
  6. Step 6: Final answer
    x = 11,513.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.