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Finding the Third Proportional to 143,681 and 312,231

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Solution

The third proportional to 143,681 and 312,231 is: 678,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,681 : 312,231 = 312,231 : x
  2. Step 2: Convert to fraction form
    143,681/312,231 = 312,231/x
  3. Step 3: Cross multiply
    143,681x = 312,231 × 312,231
  4. Step 4: Simplify right side
    143,681x = 97,488,197,361
  5. Step 5: Solve for x
    x = 97,488,197,361/143,681
  6. Step 6: Final answer
    x = 678,504.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.