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Finding the Third Proportional to 402,437 and 852,837

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Solution

The third proportional to 402,437 and 852,837 is: 1,807,316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,437 : 852,837 = 852,837 : x
  2. Step 2: Convert to fraction form
    402,437/852,837 = 852,837/x
  3. Step 3: Cross multiply
    402,437x = 852,837 × 852,837
  4. Step 4: Simplify right side
    402,437x = 727,330,948,569
  5. Step 5: Solve for x
    x = 727,330,948,569/402,437
  6. Step 6: Final answer
    x = 1,807,316.30

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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.