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Finding the Third Proportional to 109,306 and 257,929

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Solution

The third proportional to 109,306 and 257,929 is: 608,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306 : 257,929 = 257,929 : x
  2. Step 2: Convert to fraction form
    109,306/257,929 = 257,929/x
  3. Step 3: Cross multiply
    109,306x = 257,929 × 257,929
  4. Step 4: Simplify right side
    109,306x = 66,527,369,041
  5. Step 5: Solve for x
    x = 66,527,369,041/109,306
  6. Step 6: Final answer
    x = 608,634.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.