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Finding the Third Proportional to 143,410.78 and 312,421.78

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Solution

The third proportional to 143,410.78 and 312,421.78 is: 680,613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,410.78 : 312,421.78 = 312,421.78 : x
  2. Step 2: Convert to fraction form
    143,410.78/312,421.78 = 312,421.78/x
  3. Step 3: Cross multiply
    143,410.78x = 312,421.78 × 312,421.78
  4. Step 4: Simplify right side
    143,410.78x = 97,607,369,399.42
  5. Step 5: Solve for x
    x = 97,607,369,399.42/143,410.78
  6. Step 6: Final answer
    x = 680,613.89

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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.