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Finding the Third Proportional to 7,573.50 and 10,594.55

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Solution

The third proportional to 7,573.50 and 10,594.55 is: 14,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.50 : 10,594.55 = 10,594.55 : x
  2. Step 2: Convert to fraction form
    7,573.50/10,594.55 = 10,594.55/x
  3. Step 3: Cross multiply
    7,573.50x = 10,594.55 × 10,594.55
  4. Step 4: Simplify right side
    7,573.50x = 112,244,423.49
  5. Step 5: Solve for x
    x = 112,244,423.49/7,573.50
  6. Step 6: Final answer
    x = 14,820.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.