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Finding the Third Proportional to 2,170.55 and 5,356.13

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Solution

The third proportional to 2,170.55 and 5,356.13 is: 13,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.55 : 5,356.13 = 5,356.13 : x
  2. Step 2: Convert to fraction form
    2,170.55/5,356.13 = 5,356.13/x
  3. Step 3: Cross multiply
    2,170.55x = 5,356.13 × 5,356.13
  4. Step 4: Simplify right side
    2,170.55x = 28,688,075.02
  5. Step 5: Solve for x
    x = 28,688,075.02/2,170.55
  6. Step 6: Final answer
    x = 13,216.98

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.