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Finding the Third Proportional to 522,740 and 768,800

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Solution

The third proportional to 522,740 and 768,800 is: 1,130,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,740 : 768,800 = 768,800 : x
  2. Step 2: Convert to fraction form
    522,740/768,800 = 768,800/x
  3. Step 3: Cross multiply
    522,740x = 768,800 × 768,800
  4. Step 4: Simplify right side
    522,740x = 591,053,440,000
  5. Step 5: Solve for x
    x = 591,053,440,000/522,740
  6. Step 6: Final answer
    x = 1,130,683.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.