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Finding the Third Proportional to 428,964 and 924,416

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Solution

The third proportional to 428,964 and 924,416 is: 1,992,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,964 : 924,416 = 924,416 : x
  2. Step 2: Convert to fraction form
    428,964/924,416 = 924,416/x
  3. Step 3: Cross multiply
    428,964x = 924,416 × 924,416
  4. Step 4: Simplify right side
    428,964x = 854,544,941,056
  5. Step 5: Solve for x
    x = 854,544,941,056/428,964
  6. Step 6: Final answer
    x = 1,992,113.42

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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.