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Finding the Third Proportional to 402,421 and 852,818

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Solution

The third proportional to 402,421 and 852,818 is: 1,807,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,421 : 852,818 = 852,818 : x
  2. Step 2: Convert to fraction form
    402,421/852,818 = 852,818/x
  3. Step 3: Cross multiply
    402,421x = 852,818 × 852,818
  4. Step 4: Simplify right side
    402,421x = 727,298,541,124
  5. Step 5: Solve for x
    x = 727,298,541,124/402,421
  6. Step 6: Final answer
    x = 1,807,307.62

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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.