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Finding the Third Proportional to 122,570 and 168,786

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Solution

The third proportional to 122,570 and 168,786 is: 232,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,570 : 168,786 = 168,786 : x
  2. Step 2: Convert to fraction form
    122,570/168,786 = 168,786/x
  3. Step 3: Cross multiply
    122,570x = 168,786 × 168,786
  4. Step 4: Simplify right side
    122,570x = 28,488,713,796
  5. Step 5: Solve for x
    x = 28,488,713,796/122,570
  6. Step 6: Final answer
    x = 232,428.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.