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Finding the Third Proportional to 145,452 and 317,184

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Solution

The third proportional to 145,452 and 317,184 is: 691,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,452 : 317,184 = 317,184 : x
  2. Step 2: Convert to fraction form
    145,452/317,184 = 317,184/x
  3. Step 3: Cross multiply
    145,452x = 317,184 × 317,184
  4. Step 4: Simplify right side
    145,452x = 100,605,689,856
  5. Step 5: Solve for x
    x = 100,605,689,856/145,452
  6. Step 6: Final answer
    x = 691,676.22

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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.