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Finding the Third Proportional to 307,158.75 and 458,368.88

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Solution

The third proportional to 307,158.75 and 458,368.88 is: 684,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,158.75 : 458,368.88 = 458,368.88 : x
  2. Step 2: Convert to fraction form
    307,158.75/458,368.88 = 458,368.88/x
  3. Step 3: Cross multiply
    307,158.75x = 458,368.88 × 458,368.88
  4. Step 4: Simplify right side
    307,158.75x = 210,102,025,568.77
  5. Step 5: Solve for x
    x = 210,102,025,568.77/307,158.75
  6. Step 6: Final answer
    x = 684,017.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.