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Finding the Third Proportional to 428,557 and 933,309

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Solution

The third proportional to 428,557 and 933,309 is: 2,032,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,557 : 933,309 = 933,309 : x
  2. Step 2: Convert to fraction form
    428,557/933,309 = 933,309/x
  3. Step 3: Cross multiply
    428,557x = 933,309 × 933,309
  4. Step 4: Simplify right side
    428,557x = 871,065,689,481
  5. Step 5: Solve for x
    x = 871,065,689,481/428,557
  6. Step 6: Final answer
    x = 2,032,555.04

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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.