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Finding the Third Proportional to 180,500 and 389,618

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Solution

The third proportional to 180,500 and 389,618 is: 841,009.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,500 : 389,618 = 389,618 : x
  2. Step 2: Convert to fraction form
    180,500/389,618 = 389,618/x
  3. Step 3: Cross multiply
    180,500x = 389,618 × 389,618
  4. Step 4: Simplify right side
    180,500x = 151,802,185,924
  5. Step 5: Solve for x
    x = 151,802,185,924/180,500
  6. Step 6: Final answer
    x = 841,009.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.