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Finding the Third Proportional to 396,430.88 and 603,941.06

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Solution

The third proportional to 396,430.88 and 603,941.06 is: 920,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,430.88 : 603,941.06 = 603,941.06 : x
  2. Step 2: Convert to fraction form
    396,430.88/603,941.06 = 603,941.06/x
  3. Step 3: Cross multiply
    396,430.88x = 603,941.06 × 603,941.06
  4. Step 4: Simplify right side
    396,430.88x = 364,744,806,973.63
  5. Step 5: Solve for x
    x = 364,744,806,973.63/396,430.88
  6. Step 6: Final answer
    x = 920,071.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.