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Finding the Third Proportional to 103,482.56 and 223,575.19

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Solution

The third proportional to 103,482.56 and 223,575.19 is: 483,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,482.56 : 223,575.19 = 223,575.19 : x
  2. Step 2: Convert to fraction form
    103,482.56/223,575.19 = 223,575.19/x
  3. Step 3: Cross multiply
    103,482.56x = 223,575.19 × 223,575.19
  4. Step 4: Simplify right side
    103,482.56x = 49,985,864,465.66
  5. Step 5: Solve for x
    x = 49,985,864,465.66/103,482.56
  6. Step 6: Final answer
    x = 483,036.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.