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Finding the Third Proportional to 235,408 and 355,312

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Solution

The third proportional to 235,408 and 355,312 is: 536,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,408 : 355,312 = 355,312 : x
  2. Step 2: Convert to fraction form
    235,408/355,312 = 355,312/x
  3. Step 3: Cross multiply
    235,408x = 355,312 × 355,312
  4. Step 4: Simplify right side
    235,408x = 126,246,617,344
  5. Step 5: Solve for x
    x = 126,246,617,344/235,408
  6. Step 6: Final answer
    x = 536,288.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.