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Finding the Third Proportional to 428,656 and 931,128

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Solution

The third proportional to 428,656 and 931,128 is: 2,022,599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,656 : 931,128 = 931,128 : x
  2. Step 2: Convert to fraction form
    428,656/931,128 = 931,128/x
  3. Step 3: Cross multiply
    428,656x = 931,128 × 931,128
  4. Step 4: Simplify right side
    428,656x = 866,999,352,384
  5. Step 5: Solve for x
    x = 866,999,352,384/428,656
  6. Step 6: Final answer
    x = 2,022,599.36

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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.