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Finding the Third Proportional to 270,459 and 384,426

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Solution

The third proportional to 270,459 and 384,426 is: 546,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,459 : 384,426 = 384,426 : x
  2. Step 2: Convert to fraction form
    270,459/384,426 = 384,426/x
  3. Step 3: Cross multiply
    270,459x = 384,426 × 384,426
  4. Step 4: Simplify right side
    270,459x = 147,783,349,476
  5. Step 5: Solve for x
    x = 147,783,349,476/270,459
  6. Step 6: Final answer
    x = 546,416.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.