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Finding the Third Proportional to 582,388 and 877,686

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Solution

The third proportional to 582,388 and 877,686 is: 1,322,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,388 : 877,686 = 877,686 : x
  2. Step 2: Convert to fraction form
    582,388/877,686 = 877,686/x
  3. Step 3: Cross multiply
    582,388x = 877,686 × 877,686
  4. Step 4: Simplify right side
    582,388x = 770,332,714,596
  5. Step 5: Solve for x
    x = 770,332,714,596/582,388
  6. Step 6: Final answer
    x = 1,322,713.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.