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Finding the Third Proportional to 77,684 and 117,618

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Solution

The third proportional to 77,684 and 117,618 is: 178,080.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684 : 117,618 = 117,618 : x
  2. Step 2: Convert to fraction form
    77,684/117,618 = 117,618/x
  3. Step 3: Cross multiply
    77,684x = 117,618 × 117,618
  4. Step 4: Simplify right side
    77,684x = 13,833,993,924
  5. Step 5: Solve for x
    x = 13,833,993,924/77,684
  6. Step 6: Final answer
    x = 178,080.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.