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Finding the Third Proportional to 379,840 and 590,480

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Solution

The third proportional to 379,840 and 590,480 is: 917,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,840 : 590,480 = 590,480 : x
  2. Step 2: Convert to fraction form
    379,840/590,480 = 590,480/x
  3. Step 3: Cross multiply
    379,840x = 590,480 × 590,480
  4. Step 4: Simplify right side
    379,840x = 348,666,630,400
  5. Step 5: Solve for x
    x = 348,666,630,400/379,840
  6. Step 6: Final answer
    x = 917,930.26

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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.