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Finding the Third Proportional to 212,915 and 463,630

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Solution

The third proportional to 212,915 and 463,630 is: 1,009,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,915 : 463,630 = 463,630 : x
  2. Step 2: Convert to fraction form
    212,915/463,630 = 463,630/x
  3. Step 3: Cross multiply
    212,915x = 463,630 × 463,630
  4. Step 4: Simplify right side
    212,915x = 214,952,776,900
  5. Step 5: Solve for x
    x = 214,952,776,900/212,915
  6. Step 6: Final answer
    x = 1,009,570.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.