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Finding the Third Proportional to 70,618 and 98,971

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Solution

The third proportional to 70,618 and 98,971 is: 138,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,618 : 98,971 = 98,971 : x
  2. Step 2: Convert to fraction form
    70,618/98,971 = 98,971/x
  3. Step 3: Cross multiply
    70,618x = 98,971 × 98,971
  4. Step 4: Simplify right side
    70,618x = 9,795,258,841
  5. Step 5: Solve for x
    x = 9,795,258,841/70,618
  6. Step 6: Final answer
    x = 138,707.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.