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Finding the Third Proportional to 288,392 and 430,196

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Solution

The third proportional to 288,392 and 430,196 is: 641,725.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,392 : 430,196 = 430,196 : x
  2. Step 2: Convert to fraction form
    288,392/430,196 = 430,196/x
  3. Step 3: Cross multiply
    288,392x = 430,196 × 430,196
  4. Step 4: Simplify right side
    288,392x = 185,068,598,416
  5. Step 5: Solve for x
    x = 185,068,598,416/288,392
  6. Step 6: Final answer
    x = 641,725.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.