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Finding the Third Proportional to 426,286 and 615,858

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Solution

The third proportional to 426,286 and 615,858 is: 889,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,286 : 615,858 = 615,858 : x
  2. Step 2: Convert to fraction form
    426,286/615,858 = 615,858/x
  3. Step 3: Cross multiply
    426,286x = 615,858 × 615,858
  4. Step 4: Simplify right side
    426,286x = 379,281,076,164
  5. Step 5: Solve for x
    x = 379,281,076,164/426,286
  6. Step 6: Final answer
    x = 889,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.