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Finding the Third Proportional to 169,770 and 258,346

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Solution

The third proportional to 169,770 and 258,346 is: 393,135.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,770 : 258,346 = 258,346 : x
  2. Step 2: Convert to fraction form
    169,770/258,346 = 258,346/x
  3. Step 3: Cross multiply
    169,770x = 258,346 × 258,346
  4. Step 4: Simplify right side
    169,770x = 66,742,655,716
  5. Step 5: Solve for x
    x = 66,742,655,716/169,770
  6. Step 6: Final answer
    x = 393,135.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.