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Finding the Third Proportional to 155,990 and 239,618

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Solution

The third proportional to 155,990 and 239,618 is: 368,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,990 : 239,618 = 239,618 : x
  2. Step 2: Convert to fraction form
    155,990/239,618 = 239,618/x
  3. Step 3: Cross multiply
    155,990x = 239,618 × 239,618
  4. Step 4: Simplify right side
    155,990x = 57,416,785,924
  5. Step 5: Solve for x
    x = 57,416,785,924/155,990
  6. Step 6: Final answer
    x = 368,079.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.