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Finding the Third Proportional to 213,703.50 and 329,806.50

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Solution

The third proportional to 213,703.50 and 329,806.50 is: 508,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,703.50 : 329,806.50 = 329,806.50 : x
  2. Step 2: Convert to fraction form
    213,703.50/329,806.50 = 329,806.50/x
  3. Step 3: Cross multiply
    213,703.50x = 329,806.50 × 329,806.50
  4. Step 4: Simplify right side
    213,703.50x = 108,772,327,442.25
  5. Step 5: Solve for x
    x = 108,772,327,442.25/213,703.50
  6. Step 6: Final answer
    x = 508,987.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.