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Finding the Third Proportional to 188,851 and 407,860

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Solution

The third proportional to 188,851 and 407,860 is: 880,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,851 : 407,860 = 407,860 : x
  2. Step 2: Convert to fraction form
    188,851/407,860 = 407,860/x
  3. Step 3: Cross multiply
    188,851x = 407,860 × 407,860
  4. Step 4: Simplify right side
    188,851x = 166,349,779,600
  5. Step 5: Solve for x
    x = 166,349,779,600/188,851
  6. Step 6: Final answer
    x = 880,851.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.