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Finding the Third Proportional to 196,407 and 427,815

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Solution

The third proportional to 196,407 and 427,815 is: 931,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,407 : 427,815 = 427,815 : x
  2. Step 2: Convert to fraction form
    196,407/427,815 = 427,815/x
  3. Step 3: Cross multiply
    196,407x = 427,815 × 427,815
  4. Step 4: Simplify right side
    196,407x = 183,025,674,225
  5. Step 5: Solve for x
    x = 183,025,674,225/196,407
  6. Step 6: Final answer
    x = 931,869.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.