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Finding the Third Proportional to 211,321.50 and 313,490.25

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Solution

The third proportional to 211,321.50 and 313,490.25 is: 465,055.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,321.50 : 313,490.25 = 313,490.25 : x
  2. Step 2: Convert to fraction form
    211,321.50/313,490.25 = 313,490.25/x
  3. Step 3: Cross multiply
    211,321.50x = 313,490.25 × 313,490.25
  4. Step 4: Simplify right side
    211,321.50x = 98,276,136,845.06
  5. Step 5: Solve for x
    x = 98,276,136,845.06/211,321.50
  6. Step 6: Final answer
    x = 465,055.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.