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Finding the Third Proportional to 159,688 and 338,852

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Solution

The third proportional to 159,688 and 338,852 is: 719,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,688 : 338,852 = 338,852 : x
  2. Step 2: Convert to fraction form
    159,688/338,852 = 338,852/x
  3. Step 3: Cross multiply
    159,688x = 338,852 × 338,852
  4. Step 4: Simplify right side
    159,688x = 114,820,677,904
  5. Step 5: Solve for x
    x = 114,820,677,904/159,688
  6. Step 6: Final answer
    x = 719,031.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.