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Finding the Third Proportional to 3,125.18 and 4,564.37

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Solution

The third proportional to 3,125.18 and 4,564.37 is: 6,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.18 : 4,564.37 = 4,564.37 : x
  2. Step 2: Convert to fraction form
    3,125.18/4,564.37 = 4,564.37/x
  3. Step 3: Cross multiply
    3,125.18x = 4,564.37 × 4,564.37
  4. Step 4: Simplify right side
    3,125.18x = 20,833,483.48
  5. Step 5: Solve for x
    x = 20,833,483.48/3,125.18
  6. Step 6: Final answer
    x = 6,666.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.