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Finding the Third Proportional to 119,309 and 257,300

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Solution

The third proportional to 119,309 and 257,300 is: 554,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309 : 257,300 = 257,300 : x
  2. Step 2: Convert to fraction form
    119,309/257,300 = 257,300/x
  3. Step 3: Cross multiply
    119,309x = 257,300 × 257,300
  4. Step 4: Simplify right side
    119,309x = 66,203,290,000
  5. Step 5: Solve for x
    x = 66,203,290,000/119,309
  6. Step 6: Final answer
    x = 554,889.32

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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.