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Finding the Third Proportional to 119,353.50 and 257,985

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Solution

The third proportional to 119,353.50 and 257,985 is: 557,639.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,353.50 : 257,985 = 257,985 : x
  2. Step 2: Convert to fraction form
    119,353.50/257,985 = 257,985/x
  3. Step 3: Cross multiply
    119,353.50x = 257,985 × 257,985
  4. Step 4: Simplify right side
    119,353.50x = 66,556,260,225
  5. Step 5: Solve for x
    x = 66,556,260,225/119,353.50
  6. Step 6: Final answer
    x = 557,639.79

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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.