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Finding the Third Proportional to 402,438 and 852,842

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Solution

The third proportional to 402,438 and 852,842 is: 1,807,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,438 : 852,842 = 852,842 : x
  2. Step 2: Convert to fraction form
    402,438/852,842 = 852,842/x
  3. Step 3: Cross multiply
    402,438x = 852,842 × 852,842
  4. Step 4: Simplify right side
    402,438x = 727,339,476,964
  5. Step 5: Solve for x
    x = 727,339,476,964/402,438
  6. Step 6: Final answer
    x = 1,807,333.00

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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.