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Finding the Third Proportional to 120,623 and 177,426

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Solution

The third proportional to 120,623 and 177,426 is: 260,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,623 : 177,426 = 177,426 : x
  2. Step 2: Convert to fraction form
    120,623/177,426 = 177,426/x
  3. Step 3: Cross multiply
    120,623x = 177,426 × 177,426
  4. Step 4: Simplify right side
    120,623x = 31,479,985,476
  5. Step 5: Solve for x
    x = 31,479,985,476/120,623
  6. Step 6: Final answer
    x = 260,978.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.