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Finding the Third Proportional to 145,340 and 312,944

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Solution

The third proportional to 145,340 and 312,944 is: 673,826.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,340 : 312,944 = 312,944 : x
  2. Step 2: Convert to fraction form
    145,340/312,944 = 312,944/x
  3. Step 3: Cross multiply
    145,340x = 312,944 × 312,944
  4. Step 4: Simplify right side
    145,340x = 97,933,947,136
  5. Step 5: Solve for x
    x = 97,933,947,136/145,340
  6. Step 6: Final answer
    x = 673,826.52

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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.