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Finding the Third Proportional to 213,117.50 and 355,145.25

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Solution

The third proportional to 213,117.50 and 355,145.25 is: 591,824.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,117.50 : 355,145.25 = 355,145.25 : x
  2. Step 2: Convert to fraction form
    213,117.50/355,145.25 = 355,145.25/x
  3. Step 3: Cross multiply
    213,117.50x = 355,145.25 × 355,145.25
  4. Step 4: Simplify right side
    213,117.50x = 126,128,148,597.56
  5. Step 5: Solve for x
    x = 126,128,148,597.56/213,117.50
  6. Step 6: Final answer
    x = 591,824.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.