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Finding the Third Proportional to 211,810.50 and 330,220

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Solution

The third proportional to 211,810.50 and 330,220 is: 514,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,810.50 : 330,220 = 330,220 : x
  2. Step 2: Convert to fraction form
    211,810.50/330,220 = 330,220/x
  3. Step 3: Cross multiply
    211,810.50x = 330,220 × 330,220
  4. Step 4: Simplify right side
    211,810.50x = 109,045,248,400
  5. Step 5: Solve for x
    x = 109,045,248,400/211,810.50
  6. Step 6: Final answer
    x = 514,824.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.