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Finding the Third Proportional to 456,430 and 667,743

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Solution

The third proportional to 456,430 and 667,743 is: 976,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,430 : 667,743 = 667,743 : x
  2. Step 2: Convert to fraction form
    456,430/667,743 = 667,743/x
  3. Step 3: Cross multiply
    456,430x = 667,743 × 667,743
  4. Step 4: Simplify right side
    456,430x = 445,880,714,049
  5. Step 5: Solve for x
    x = 445,880,714,049/456,430
  6. Step 6: Final answer
    x = 976,887.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.