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Finding the Third Proportional to 402,804 and 877,497

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Solution

The third proportional to 402,804 and 877,497 is: 1,911,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,804 : 877,497 = 877,497 : x
  2. Step 2: Convert to fraction form
    402,804/877,497 = 877,497/x
  3. Step 3: Cross multiply
    402,804x = 877,497 × 877,497
  4. Step 4: Simplify right side
    402,804x = 770,000,985,009
  5. Step 5: Solve for x
    x = 770,000,985,009/402,804
  6. Step 6: Final answer
    x = 1,911,602.13

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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.