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Finding the Third Proportional to 477,690.75 and 619,940.25

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Solution

The third proportional to 477,690.75 and 619,940.25 is: 804,549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,690.75 : 619,940.25 = 619,940.25 : x
  2. Step 2: Convert to fraction form
    477,690.75/619,940.25 = 619,940.25/x
  3. Step 3: Cross multiply
    477,690.75x = 619,940.25 × 619,940.25
  4. Step 4: Simplify right side
    477,690.75x = 384,325,913,570.06
  5. Step 5: Solve for x
    x = 384,325,913,570.06/477,690.75
  6. Step 6: Final answer
    x = 804,549.62

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.