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Finding the Third Proportional to 121,000 and 181,618

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Solution

The third proportional to 121,000 and 181,618 is: 272,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,000 : 181,618 = 181,618 : x
  2. Step 2: Convert to fraction form
    121,000/181,618 = 181,618/x
  3. Step 3: Cross multiply
    121,000x = 181,618 × 181,618
  4. Step 4: Simplify right side
    121,000x = 32,985,097,924
  5. Step 5: Solve for x
    x = 32,985,097,924/121,000
  6. Step 6: Final answer
    x = 272,604.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.