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Finding the Third Proportional to 648,520 and 923,828

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Solution

The third proportional to 648,520 and 923,828 is: 1,316,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,520 : 923,828 = 923,828 : x
  2. Step 2: Convert to fraction form
    648,520/923,828 = 923,828/x
  3. Step 3: Cross multiply
    648,520x = 923,828 × 923,828
  4. Step 4: Simplify right side
    648,520x = 853,458,173,584
  5. Step 5: Solve for x
    x = 853,458,173,584/648,520
  6. Step 6: Final answer
    x = 1,316,009.03

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.