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Finding the Third Proportional to 119,313 and 257,307

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Solution

The third proportional to 119,313 and 257,307 is: 554,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313 : 257,307 = 257,307 : x
  2. Step 2: Convert to fraction form
    119,313/257,307 = 257,307/x
  3. Step 3: Cross multiply
    119,313x = 257,307 × 257,307
  4. Step 4: Simplify right side
    119,313x = 66,206,892,249
  5. Step 5: Solve for x
    x = 66,206,892,249/119,313
  6. Step 6: Final answer
    x = 554,900.91

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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.