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Finding the Third Proportional to 178,618 and 242,580

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Solution

The third proportional to 178,618 and 242,580 is: 329,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,618 : 242,580 = 242,580 : x
  2. Step 2: Convert to fraction form
    178,618/242,580 = 242,580/x
  3. Step 3: Cross multiply
    178,618x = 242,580 × 242,580
  4. Step 4: Simplify right side
    178,618x = 58,845,056,400
  5. Step 5: Solve for x
    x = 58,845,056,400/178,618
  6. Step 6: Final answer
    x = 329,446.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.