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Finding the Third Proportional to 522,738 and 768,789

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Solution

The third proportional to 522,738 and 768,789 is: 1,130,655.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,738 : 768,789 = 768,789 : x
  2. Step 2: Convert to fraction form
    522,738/768,789 = 768,789/x
  3. Step 3: Cross multiply
    522,738x = 768,789 × 768,789
  4. Step 4: Simplify right side
    522,738x = 591,036,526,521
  5. Step 5: Solve for x
    x = 591,036,526,521/522,738
  6. Step 6: Final answer
    x = 1,130,655.37

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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.