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Finding the Third Proportional to 212,458 and 456,494

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Solution

The third proportional to 212,458 and 456,494 is: 980,837.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,458 : 456,494 = 456,494 : x
  2. Step 2: Convert to fraction form
    212,458/456,494 = 456,494/x
  3. Step 3: Cross multiply
    212,458x = 456,494 × 456,494
  4. Step 4: Simplify right side
    212,458x = 208,386,772,036
  5. Step 5: Solve for x
    x = 208,386,772,036/212,458
  6. Step 6: Final answer
    x = 980,837.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.