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Finding the Third Proportional to 428,567 and 912,629

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Solution

The third proportional to 428,567 and 912,629 is: 1,943,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,567 : 912,629 = 912,629 : x
  2. Step 2: Convert to fraction form
    428,567/912,629 = 912,629/x
  3. Step 3: Cross multiply
    428,567x = 912,629 × 912,629
  4. Step 4: Simplify right side
    428,567x = 832,891,691,641
  5. Step 5: Solve for x
    x = 832,891,691,641/428,567
  6. Step 6: Final answer
    x = 1,943,434.03

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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.