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Finding the Third Proportional to 402,564 and 853,120

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Solution

The third proportional to 402,564 and 853,120 is: 1,807,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,564 : 853,120 = 853,120 : x
  2. Step 2: Convert to fraction form
    402,564/853,120 = 853,120/x
  3. Step 3: Cross multiply
    402,564x = 853,120 × 853,120
  4. Step 4: Simplify right side
    402,564x = 727,813,734,400
  5. Step 5: Solve for x
    x = 727,813,734,400/402,564
  6. Step 6: Final answer
    x = 1,807,945.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.