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Finding the Third Proportional to 119,957 and 258,346

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Solution

The third proportional to 119,957 and 258,346 is: 556,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,957 : 258,346 = 258,346 : x
  2. Step 2: Convert to fraction form
    119,957/258,346 = 258,346/x
  3. Step 3: Cross multiply
    119,957x = 258,346 × 258,346
  4. Step 4: Simplify right side
    119,957x = 66,742,655,716
  5. Step 5: Solve for x
    x = 66,742,655,716/119,957
  6. Step 6: Final answer
    x = 556,388.17

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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.