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Finding the Third Proportional to 71,408 and 155,513

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Solution

The third proportional to 71,408 and 155,513 is: 338,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408 : 155,513 = 155,513 : x
  2. Step 2: Convert to fraction form
    71,408/155,513 = 155,513/x
  3. Step 3: Cross multiply
    71,408x = 155,513 × 155,513
  4. Step 4: Simplify right side
    71,408x = 24,184,293,169
  5. Step 5: Solve for x
    x = 24,184,293,169/71,408
  6. Step 6: Final answer
    x = 338,677.64

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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.