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Finding the Third Proportional to 119,604 and 257,640

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Solution

The third proportional to 119,604 and 257,640 is: 554,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,604 : 257,640 = 257,640 : x
  2. Step 2: Convert to fraction form
    119,604/257,640 = 257,640/x
  3. Step 3: Cross multiply
    119,604x = 257,640 × 257,640
  4. Step 4: Simplify right side
    119,604x = 66,378,369,600
  5. Step 5: Solve for x
    x = 66,378,369,600/119,604
  6. Step 6: Final answer
    x = 554,984.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.