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Finding the Third Proportional to 212,787 and 314,973

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Solution

The third proportional to 212,787 and 314,973 is: 466,231.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,787 : 314,973 = 314,973 : x
  2. Step 2: Convert to fraction form
    212,787/314,973 = 314,973/x
  3. Step 3: Cross multiply
    212,787x = 314,973 × 314,973
  4. Step 4: Simplify right side
    212,787x = 99,207,990,729
  5. Step 5: Solve for x
    x = 99,207,990,729/212,787
  6. Step 6: Final answer
    x = 466,231.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.