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Finding the Third Proportional to 212,445 and 459,740.25

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Solution

The third proportional to 212,445 and 459,740.25 is: 994,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,445 : 459,740.25 = 459,740.25 : x
  2. Step 2: Convert to fraction form
    212,445/459,740.25 = 459,740.25/x
  3. Step 3: Cross multiply
    212,445x = 459,740.25 × 459,740.25
  4. Step 4: Simplify right side
    212,445x = 211,361,097,470.06
  5. Step 5: Solve for x
    x = 211,361,097,470.06/212,445
  6. Step 6: Final answer
    x = 994,897.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.