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Finding the Third Proportional to 428,988 and 923,748

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Solution

The third proportional to 428,988 and 923,748 is: 1,989,124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,988 : 923,748 = 923,748 : x
  2. Step 2: Convert to fraction form
    428,988/923,748 = 923,748/x
  3. Step 3: Cross multiply
    428,988x = 923,748 × 923,748
  4. Step 4: Simplify right side
    428,988x = 853,310,367,504
  5. Step 5: Solve for x
    x = 853,310,367,504/428,988
  6. Step 6: Final answer
    x = 1,989,124.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.