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Finding the Third Proportional to 131,484 and 213,618

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Solution

The third proportional to 131,484 and 213,618 is: 347,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,484 : 213,618 = 213,618 : x
  2. Step 2: Convert to fraction form
    131,484/213,618 = 213,618/x
  3. Step 3: Cross multiply
    131,484x = 213,618 × 213,618
  4. Step 4: Simplify right side
    131,484x = 45,632,649,924
  5. Step 5: Solve for x
    x = 45,632,649,924/131,484
  6. Step 6: Final answer
    x = 347,058.58

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.