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Finding the Third Proportional to 402,444 and 852,854

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Solution

The third proportional to 402,444 and 852,854 is: 1,807,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,444 : 852,854 = 852,854 : x
  2. Step 2: Convert to fraction form
    402,444/852,854 = 852,854/x
  3. Step 3: Cross multiply
    402,444x = 852,854 × 852,854
  4. Step 4: Simplify right side
    402,444x = 727,359,945,316
  5. Step 5: Solve for x
    x = 727,359,945,316/402,444
  6. Step 6: Final answer
    x = 1,807,356.91

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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.