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Finding the Third Proportional to 402,865 and 877,657

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Solution

The third proportional to 402,865 and 877,657 is: 1,912,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,865 : 877,657 = 877,657 : x
  2. Step 2: Convert to fraction form
    402,865/877,657 = 877,657/x
  3. Step 3: Cross multiply
    402,865x = 877,657 × 877,657
  4. Step 4: Simplify right side
    402,865x = 770,281,809,649
  5. Step 5: Solve for x
    x = 770,281,809,649/402,865
  6. Step 6: Final answer
    x = 1,912,009.75

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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.