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Finding the Third Proportional to 169,572 and 356,208

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Solution

The third proportional to 169,572 and 356,208 is: 748,261.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,572 : 356,208 = 356,208 : x
  2. Step 2: Convert to fraction form
    169,572/356,208 = 356,208/x
  3. Step 3: Cross multiply
    169,572x = 356,208 × 356,208
  4. Step 4: Simplify right side
    169,572x = 126,884,139,264
  5. Step 5: Solve for x
    x = 126,884,139,264/169,572
  6. Step 6: Final answer
    x = 748,261.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.