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Finding the Third Proportional to 428,140 and 927,596

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Solution

The third proportional to 428,140 and 927,596 is: 2,009,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,140 : 927,596 = 927,596 : x
  2. Step 2: Convert to fraction form
    428,140/927,596 = 927,596/x
  3. Step 3: Cross multiply
    428,140x = 927,596 × 927,596
  4. Step 4: Simplify right side
    428,140x = 860,434,339,216
  5. Step 5: Solve for x
    x = 860,434,339,216/428,140
  6. Step 6: Final answer
    x = 2,009,703.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.