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Finding the Third Proportional to 402,834 and 877,566

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Solution

The third proportional to 402,834 and 877,566 is: 1,911,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,834 : 877,566 = 877,566 : x
  2. Step 2: Convert to fraction form
    402,834/877,566 = 877,566/x
  3. Step 3: Cross multiply
    402,834x = 877,566 × 877,566
  4. Step 4: Simplify right side
    402,834x = 770,122,084,356
  5. Step 5: Solve for x
    x = 770,122,084,356/402,834
  6. Step 6: Final answer
    x = 1,911,760.39

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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.