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Finding the Third Proportional to 402,302 and 868,412

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Solution

The third proportional to 402,302 and 868,412 is: 1,874,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,302 : 868,412 = 868,412 : x
  2. Step 2: Convert to fraction form
    402,302/868,412 = 868,412/x
  3. Step 3: Cross multiply
    402,302x = 868,412 × 868,412
  4. Step 4: Simplify right side
    402,302x = 754,139,401,744
  5. Step 5: Solve for x
    x = 754,139,401,744/402,302
  6. Step 6: Final answer
    x = 1,874,560.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.