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Finding the Third Proportional to 158,618 and 255,015

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Solution

The third proportional to 158,618 and 255,015 is: 409,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,618 : 255,015 = 255,015 : x
  2. Step 2: Convert to fraction form
    158,618/255,015 = 255,015/x
  3. Step 3: Cross multiply
    158,618x = 255,015 × 255,015
  4. Step 4: Simplify right side
    158,618x = 65,032,650,225
  5. Step 5: Solve for x
    x = 65,032,650,225/158,618
  6. Step 6: Final answer
    x = 409,995.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.