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Finding the Third Proportional to 458,131 and 699,046

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Solution

The third proportional to 458,131 and 699,046 is: 1,066,649.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,131 : 699,046 = 699,046 : x
  2. Step 2: Convert to fraction form
    458,131/699,046 = 699,046/x
  3. Step 3: Cross multiply
    458,131x = 699,046 × 699,046
  4. Step 4: Simplify right side
    458,131x = 488,665,310,116
  5. Step 5: Solve for x
    x = 488,665,310,116/458,131
  6. Step 6: Final answer
    x = 1,066,649.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.