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Finding the Third Proportional to 304,987.78 and 456,558.19

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Solution

The third proportional to 304,987.78 and 456,558.19 is: 683,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,987.78 : 456,558.19 = 456,558.19 : x
  2. Step 2: Convert to fraction form
    304,987.78/456,558.19 = 456,558.19/x
  3. Step 3: Cross multiply
    304,987.78x = 456,558.19 × 456,558.19
  4. Step 4: Simplify right side
    304,987.78x = 208,445,378,573.29
  5. Step 5: Solve for x
    x = 208,445,378,573.29/304,987.78
  6. Step 6: Final answer
    x = 683,454.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.