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Finding the Third Proportional to 235,213.50 and 355,009.50

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Solution

The third proportional to 235,213.50 and 355,009.50 is: 535,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,213.50 : 355,009.50 = 355,009.50 : x
  2. Step 2: Convert to fraction form
    235,213.50/355,009.50 = 355,009.50/x
  3. Step 3: Cross multiply
    235,213.50x = 355,009.50 × 355,009.50
  4. Step 4: Simplify right side
    235,213.50x = 126,031,745,090.25
  5. Step 5: Solve for x
    x = 126,031,745,090.25/235,213.50
  6. Step 6: Final answer
    x = 535,818.50

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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.