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Finding the Third Proportional to 178,849.90 and 389,303.09

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Solution

The third proportional to 178,849.90 and 389,303.09 is: 847,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,849.90 : 389,303.09 = 389,303.09 : x
  2. Step 2: Convert to fraction form
    178,849.90/389,303.09 = 389,303.09/x
  3. Step 3: Cross multiply
    178,849.90x = 389,303.09 × 389,303.09
  4. Step 4: Simplify right side
    178,849.90x = 151,556,892,720.46
  5. Step 5: Solve for x
    x = 151,556,892,720.46/178,849.90
  6. Step 6: Final answer
    x = 847,397.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.