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Finding the Third Proportional to 376,740 and 528,000

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Solution

The third proportional to 376,740 and 528,000 is: 739,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,740 : 528,000 = 528,000 : x
  2. Step 2: Convert to fraction form
    376,740/528,000 = 528,000/x
  3. Step 3: Cross multiply
    376,740x = 528,000 × 528,000
  4. Step 4: Simplify right side
    376,740x = 278,784,000,000
  5. Step 5: Solve for x
    x = 278,784,000,000/376,740
  6. Step 6: Final answer
    x = 739,990.44

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Why These Related Problems?

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