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Finding the Third Proportional to 428,569 and 912,632

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Solution

The third proportional to 428,569 and 912,632 is: 1,943,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,569 : 912,632 = 912,632 : x
  2. Step 2: Convert to fraction form
    428,569/912,632 = 912,632/x
  3. Step 3: Cross multiply
    428,569x = 912,632 × 912,632
  4. Step 4: Simplify right side
    428,569x = 832,897,167,424
  5. Step 5: Solve for x
    x = 832,897,167,424/428,569
  6. Step 6: Final answer
    x = 1,943,437.74

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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.