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Finding the Third Proportional to 143,931.94 and 313,697.81

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Solution

The third proportional to 143,931.94 and 313,697.81 is: 683,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,931.94 : 313,697.81 = 313,697.81 : x
  2. Step 2: Convert to fraction form
    143,931.94/313,697.81 = 313,697.81/x
  3. Step 3: Cross multiply
    143,931.94x = 313,697.81 × 313,697.81
  4. Step 4: Simplify right side
    143,931.94x = 98,406,317,567.29
  5. Step 5: Solve for x
    x = 98,406,317,567.29/143,931.94
  6. Step 6: Final answer
    x = 683,700.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.