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Finding the Third Proportional to 402,439 and 852,841

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Solution

The third proportional to 402,439 and 852,841 is: 1,807,324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,439 : 852,841 = 852,841 : x
  2. Step 2: Convert to fraction form
    402,439/852,841 = 852,841/x
  3. Step 3: Cross multiply
    402,439x = 852,841 × 852,841
  4. Step 4: Simplify right side
    402,439x = 727,337,771,281
  5. Step 5: Solve for x
    x = 727,337,771,281/402,439
  6. Step 6: Final answer
    x = 1,807,324.27

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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.