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Finding the Third Proportional to 212,778 and 435,276

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Solution

The third proportional to 212,778 and 435,276 is: 890,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,778 : 435,276 = 435,276 : x
  2. Step 2: Convert to fraction form
    212,778/435,276 = 435,276/x
  3. Step 3: Cross multiply
    212,778x = 435,276 × 435,276
  4. Step 4: Simplify right side
    212,778x = 189,465,196,176
  5. Step 5: Solve for x
    x = 189,465,196,176/212,778
  6. Step 6: Final answer
    x = 890,436.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.