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Finding the Third Proportional to 120,780 and 177,618

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Solution

The third proportional to 120,780 and 177,618 is: 261,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,780 : 177,618 = 177,618 : x
  2. Step 2: Convert to fraction form
    120,780/177,618 = 177,618/x
  3. Step 3: Cross multiply
    120,780x = 177,618 × 177,618
  4. Step 4: Simplify right side
    120,780x = 31,548,153,924
  5. Step 5: Solve for x
    x = 31,548,153,924/120,780
  6. Step 6: Final answer
    x = 261,203.46

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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.