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Finding the Third Proportional to 115,712 and 253,618

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Solution

The third proportional to 115,712 and 253,618 is: 555,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,712 : 253,618 = 253,618 : x
  2. Step 2: Convert to fraction form
    115,712/253,618 = 253,618/x
  3. Step 3: Cross multiply
    115,712x = 253,618 × 253,618
  4. Step 4: Simplify right side
    115,712x = 64,322,089,924
  5. Step 5: Solve for x
    x = 64,322,089,924/115,712
  6. Step 6: Final answer
    x = 555,880.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.