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Finding the Third Proportional to 2,157.47 and 4,655.81

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Solution

The third proportional to 2,157.47 and 4,655.81 is: 10,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.47 : 4,655.81 = 4,655.81 : x
  2. Step 2: Convert to fraction form
    2,157.47/4,655.81 = 4,655.81/x
  3. Step 3: Cross multiply
    2,157.47x = 4,655.81 × 4,655.81
  4. Step 4: Simplify right side
    2,157.47x = 21,676,590.04
  5. Step 5: Solve for x
    x = 21,676,590.04/2,157.47
  6. Step 6: Final answer
    x = 10,047.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.