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Finding the Third Proportional to 119,213 and 258,929

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Solution

The third proportional to 119,213 and 258,929 is: 562,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,213 : 258,929 = 258,929 : x
  2. Step 2: Convert to fraction form
    119,213/258,929 = 258,929/x
  3. Step 3: Cross multiply
    119,213x = 258,929 × 258,929
  4. Step 4: Simplify right side
    119,213x = 67,044,227,041
  5. Step 5: Solve for x
    x = 67,044,227,041/119,213
  6. Step 6: Final answer
    x = 562,390.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.