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Finding the Third Proportional to 428,984 and 914,964

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Solution

The third proportional to 428,984 and 914,964 is: 1,951,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,984 : 914,964 = 914,964 : x
  2. Step 2: Convert to fraction form
    428,984/914,964 = 914,964/x
  3. Step 3: Cross multiply
    428,984x = 914,964 × 914,964
  4. Step 4: Simplify right side
    428,984x = 837,159,121,296
  5. Step 5: Solve for x
    x = 837,159,121,296/428,984
  6. Step 6: Final answer
    x = 1,951,492.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.