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Finding the Third Proportional to 143,795 and 308,407

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Solution

The third proportional to 143,795 and 308,407 is: 661,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,795 : 308,407 = 308,407 : x
  2. Step 2: Convert to fraction form
    143,795/308,407 = 308,407/x
  3. Step 3: Cross multiply
    143,795x = 308,407 × 308,407
  4. Step 4: Simplify right side
    143,795x = 95,114,877,649
  5. Step 5: Solve for x
    x = 95,114,877,649/143,795
  6. Step 6: Final answer
    x = 661,461.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.