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Finding the Third Proportional to 182,778 and 400,865

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Solution

The third proportional to 182,778 and 400,865 is: 879,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,778 : 400,865 = 400,865 : x
  2. Step 2: Convert to fraction form
    182,778/400,865 = 400,865/x
  3. Step 3: Cross multiply
    182,778x = 400,865 × 400,865
  4. Step 4: Simplify right side
    182,778x = 160,692,748,225
  5. Step 5: Solve for x
    x = 160,692,748,225/182,778
  6. Step 6: Final answer
    x = 879,168.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.