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Finding the Third Proportional to 316,099.13 and 677,419.03

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Solution

The third proportional to 316,099.13 and 677,419.03 is: 1,451,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,099.13 : 677,419.03 = 677,419.03 : x
  2. Step 2: Convert to fraction form
    316,099.13/677,419.03 = 677,419.03/x
  3. Step 3: Cross multiply
    316,099.13x = 677,419.03 × 677,419.03
  4. Step 4: Simplify right side
    316,099.13x = 458,896,543,899.69
  5. Step 5: Solve for x
    x = 458,896,543,899.69/316,099.13
  6. Step 6: Final answer
    x = 1,451,748.86

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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.