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Finding the Third Proportional to 145,182 and 312,614

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Solution

The third proportional to 145,182 and 312,614 is: 673,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,182 : 312,614 = 312,614 : x
  2. Step 2: Convert to fraction form
    145,182/312,614 = 312,614/x
  3. Step 3: Cross multiply
    145,182x = 312,614 × 312,614
  4. Step 4: Simplify right side
    145,182x = 97,727,512,996
  5. Step 5: Solve for x
    x = 97,727,512,996/145,182
  6. Step 6: Final answer
    x = 673,137.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.