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Finding the Third Proportional to 349,312.50 and 491,771.25

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Solution

The third proportional to 349,312.50 and 491,771.25 is: 692,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,312.50 : 491,771.25 = 491,771.25 : x
  2. Step 2: Convert to fraction form
    349,312.50/491,771.25 = 491,771.25/x
  3. Step 3: Cross multiply
    349,312.50x = 491,771.25 × 491,771.25
  4. Step 4: Simplify right side
    349,312.50x = 241,838,962,326.56
  5. Step 5: Solve for x
    x = 241,838,962,326.56/349,312.50
  6. Step 6: Final answer
    x = 692,328.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.