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Finding the Third Proportional to 39,618 and 74,308

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Solution

The third proportional to 39,618 and 74,308 is: 139,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 74,308 = 74,308 : x
  2. Step 2: Convert to fraction form
    39,618/74,308 = 74,308/x
  3. Step 3: Cross multiply
    39,618x = 74,308 × 74,308
  4. Step 4: Simplify right side
    39,618x = 5,521,678,864
  5. Step 5: Solve for x
    x = 5,521,678,864/39,618
  6. Step 6: Final answer
    x = 139,372.98

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.