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Finding the Third Proportional to 402,818 and 877,536

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Solution

The third proportional to 402,818 and 877,536 is: 1,911,705.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,818 : 877,536 = 877,536 : x
  2. Step 2: Convert to fraction form
    402,818/877,536 = 877,536/x
  3. Step 3: Cross multiply
    402,818x = 877,536 × 877,536
  4. Step 4: Simplify right side
    402,818x = 770,069,431,296
  5. Step 5: Solve for x
    x = 770,069,431,296/402,818
  6. Step 6: Final answer
    x = 1,911,705.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.