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Finding the Third Proportional to 248,618 and 381,513

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Solution

The third proportional to 248,618 and 381,513 is: 585,445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,618 : 381,513 = 381,513 : x
  2. Step 2: Convert to fraction form
    248,618/381,513 = 381,513/x
  3. Step 3: Cross multiply
    248,618x = 381,513 × 381,513
  4. Step 4: Simplify right side
    248,618x = 145,552,169,169
  5. Step 5: Solve for x
    x = 145,552,169,169/248,618
  6. Step 6: Final answer
    x = 585,445.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.