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Finding the Third Proportional to 58,408 and 90,629

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Solution

The third proportional to 58,408 and 90,629 is: 140,624.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,408 : 90,629 = 90,629 : x
  2. Step 2: Convert to fraction form
    58,408/90,629 = 90,629/x
  3. Step 3: Cross multiply
    58,408x = 90,629 × 90,629
  4. Step 4: Simplify right side
    58,408x = 8,213,615,641
  5. Step 5: Solve for x
    x = 8,213,615,641/58,408
  6. Step 6: Final answer
    x = 140,624.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.