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Finding the Third Proportional to 3,913,145.75 and 8,477,689

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Solution

The third proportional to 3,913,145.75 and 8,477,689 is: 18,366,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913,145.75 : 8,477,689 = 8,477,689 : x
  2. Step 2: Convert to fraction form
    3,913,145.75/8,477,689 = 8,477,689/x
  3. Step 3: Cross multiply
    3,913,145.75x = 8,477,689 × 8,477,689
  4. Step 4: Simplify right side
    3,913,145.75x = 71,871,210,780,721
  5. Step 5: Solve for x
    x = 71,871,210,780,721/3,913,145.75
  6. Step 6: Final answer
    x = 18,366,607.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.