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Finding the Third Proportional to 212,618 and 455,764

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Solution

The third proportional to 212,618 and 455,764 is: 976,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,618 : 455,764 = 455,764 : x
  2. Step 2: Convert to fraction form
    212,618/455,764 = 455,764/x
  3. Step 3: Cross multiply
    212,618x = 455,764 × 455,764
  4. Step 4: Simplify right side
    212,618x = 207,720,823,696
  5. Step 5: Solve for x
    x = 207,720,823,696/212,618
  6. Step 6: Final answer
    x = 976,967.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.