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Finding the Third Proportional to 379,114 and 570,209

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Solution

The third proportional to 379,114 and 570,209 is: 857,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,114 : 570,209 = 570,209 : x
  2. Step 2: Convert to fraction form
    379,114/570,209 = 570,209/x
  3. Step 3: Cross multiply
    379,114x = 570,209 × 570,209
  4. Step 4: Simplify right side
    379,114x = 325,138,303,681
  5. Step 5: Solve for x
    x = 325,138,303,681/379,114
  6. Step 6: Final answer
    x = 857,626.74

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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.