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Finding the Third Proportional to 421,308 and 877,620

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Solution

The third proportional to 421,308 and 877,620 is: 1,828,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,308 : 877,620 = 877,620 : x
  2. Step 2: Convert to fraction form
    421,308/877,620 = 877,620/x
  3. Step 3: Cross multiply
    421,308x = 877,620 × 877,620
  4. Step 4: Simplify right side
    421,308x = 770,216,864,400
  5. Step 5: Solve for x
    x = 770,216,864,400/421,308
  6. Step 6: Final answer
    x = 1,828,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.