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Finding the Third Proportional to 3,477,444.75 and 4,583,719.13

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Solution

The third proportional to 3,477,444.75 and 4,583,719.13 is: 6,041,930.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477,444.75 : 4,583,719.13 = 4,583,719.13 : x
  2. Step 2: Convert to fraction form
    3,477,444.75/4,583,719.13 = 4,583,719.13/x
  3. Step 3: Cross multiply
    3,477,444.75x = 4,583,719.13 × 4,583,719.13
  4. Step 4: Simplify right side
    3,477,444.75x = 21,010,481,016,890.77
  5. Step 5: Solve for x
    x = 21,010,481,016,890.77/3,477,444.75
  6. Step 6: Final answer
    x = 6,041,930.94

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.