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Finding the Third Proportional to 117,730 and 251,618

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Solution

The third proportional to 117,730 and 251,618 is: 537,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,730 : 251,618 = 251,618 : x
  2. Step 2: Convert to fraction form
    117,730/251,618 = 251,618/x
  3. Step 3: Cross multiply
    117,730x = 251,618 × 251,618
  4. Step 4: Simplify right side
    117,730x = 63,311,617,924
  5. Step 5: Solve for x
    x = 63,311,617,924/117,730
  6. Step 6: Final answer
    x = 537,769.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.