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Finding the Third Proportional to 379,782 and 590,409

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Solution

The third proportional to 379,782 and 590,409 is: 917,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,782 : 590,409 = 590,409 : x
  2. Step 2: Convert to fraction form
    379,782/590,409 = 590,409/x
  3. Step 3: Cross multiply
    379,782x = 590,409 × 590,409
  4. Step 4: Simplify right side
    379,782x = 348,582,787,281
  5. Step 5: Solve for x
    x = 348,582,787,281/379,782
  6. Step 6: Final answer
    x = 917,849.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.