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Finding the Third Proportional to 520,128 and 778,086

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Solution

The third proportional to 520,128 and 778,086 is: 1,163,978.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,128 : 778,086 = 778,086 : x
  2. Step 2: Convert to fraction form
    520,128/778,086 = 778,086/x
  3. Step 3: Cross multiply
    520,128x = 778,086 × 778,086
  4. Step 4: Simplify right side
    520,128x = 605,417,823,396
  5. Step 5: Solve for x
    x = 605,417,823,396/520,128
  6. Step 6: Final answer
    x = 1,163,978.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.