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Finding the Third Proportional to 318,325.50 and 684,055.13

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Solution

The third proportional to 318,325.50 and 684,055.13 is: 1,469,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,325.50 : 684,055.13 = 684,055.13 : x
  2. Step 2: Convert to fraction form
    318,325.50/684,055.13 = 684,055.13/x
  3. Step 3: Cross multiply
    318,325.50x = 684,055.13 × 684,055.13
  4. Step 4: Simplify right side
    318,325.50x = 467,931,414,038.77
  5. Step 5: Solve for x
    x = 467,931,414,038.77/318,325.50
  6. Step 6: Final answer
    x = 1,469,977.79

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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.