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Finding the Third Proportional to 477,442.50 and 690,466.50

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Solution

The third proportional to 477,442.50 and 690,466.50 is: 998,536.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,442.50 : 690,466.50 = 690,466.50 : x
  2. Step 2: Convert to fraction form
    477,442.50/690,466.50 = 690,466.50/x
  3. Step 3: Cross multiply
    477,442.50x = 690,466.50 × 690,466.50
  4. Step 4: Simplify right side
    477,442.50x = 476,743,987,622.25
  5. Step 5: Solve for x
    x = 476,743,987,622.25/477,442.50
  6. Step 6: Final answer
    x = 998,536.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.