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Finding the Third Proportional to 678,459 and 1,463,730

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Solution

The third proportional to 678,459 and 1,463,730 is: 3,157,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,459 : 1,463,730 = 1,463,730 : x
  2. Step 2: Convert to fraction form
    678,459/1,463,730 = 1,463,730/x
  3. Step 3: Cross multiply
    678,459x = 1,463,730 × 1,463,730
  4. Step 4: Simplify right side
    678,459x = 2,142,505,512,900
  5. Step 5: Solve for x
    x = 2,142,505,512,900/678,459
  6. Step 6: Final answer
    x = 3,157,899.76

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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.