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Finding the Third Proportional to 6,450.47 and 14,130.28

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Solution

The third proportional to 6,450.47 and 14,130.28 is: 30,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.47 : 14,130.28 = 14,130.28 : x
  2. Step 2: Convert to fraction form
    6,450.47/14,130.28 = 14,130.28/x
  3. Step 3: Cross multiply
    6,450.47x = 14,130.28 × 14,130.28
  4. Step 4: Simplify right side
    6,450.47x = 199,664,848.20
  5. Step 5: Solve for x
    x = 199,664,848.20/6,450.47
  6. Step 6: Final answer
    x = 30,953.54

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1.5x scale

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.