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Finding the Third Proportional to 42,212 and 98,618

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Solution

The third proportional to 42,212 and 98,618 is: 230,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,212 : 98,618 = 98,618 : x
  2. Step 2: Convert to fraction form
    42,212/98,618 = 98,618/x
  3. Step 3: Cross multiply
    42,212x = 98,618 × 98,618
  4. Step 4: Simplify right side
    42,212x = 9,725,509,924
  5. Step 5: Solve for x
    x = 9,725,509,924/42,212
  6. Step 6: Final answer
    x = 230,396.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.