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Finding the Third Proportional to 235,314 and 355,140

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Solution

The third proportional to 235,314 and 355,140 is: 535,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,314 : 355,140 = 355,140 : x
  2. Step 2: Convert to fraction form
    235,314/355,140 = 355,140/x
  3. Step 3: Cross multiply
    235,314x = 355,140 × 355,140
  4. Step 4: Simplify right side
    235,314x = 126,124,419,600
  5. Step 5: Solve for x
    x = 126,124,419,600/235,314
  6. Step 6: Final answer
    x = 535,983.49

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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.