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Finding the Third Proportional to 68,724 and 147,618

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Solution

The third proportional to 68,724 and 147,618 is: 317,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,724 : 147,618 = 147,618 : x
  2. Step 2: Convert to fraction form
    68,724/147,618 = 147,618/x
  3. Step 3: Cross multiply
    68,724x = 147,618 × 147,618
  4. Step 4: Simplify right side
    68,724x = 21,791,073,924
  5. Step 5: Solve for x
    x = 21,791,073,924/68,724
  6. Step 6: Final answer
    x = 317,080.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.