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Finding the Third Proportional to 405,148.50 and 871,772.63

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Solution

The third proportional to 405,148.50 and 871,772.63 is: 1,875,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,148.50 : 871,772.63 = 871,772.63 : x
  2. Step 2: Convert to fraction form
    405,148.50/871,772.63 = 871,772.63/x
  3. Step 3: Cross multiply
    405,148.50x = 871,772.63 × 871,772.63
  4. Step 4: Simplify right side
    405,148.50x = 759,987,509,699.39
  5. Step 5: Solve for x
    x = 759,987,509,699.39/405,148.50
  6. Step 6: Final answer
    x = 1,875,824.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.