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Finding the Third Proportional to 145,408 and 317,132

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Solution

The third proportional to 145,408 and 317,132 is: 691,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,408 : 317,132 = 317,132 : x
  2. Step 2: Convert to fraction form
    145,408/317,132 = 317,132/x
  3. Step 3: Cross multiply
    145,408x = 317,132 × 317,132
  4. Step 4: Simplify right side
    145,408x = 100,572,705,424
  5. Step 5: Solve for x
    x = 100,572,705,424/145,408
  6. Step 6: Final answer
    x = 691,658.68

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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.