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Finding the Third Proportional to 375,170 and 821,490

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Solution

The third proportional to 375,170 and 821,490 is: 1,798,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,170 : 821,490 = 821,490 : x
  2. Step 2: Convert to fraction form
    375,170/821,490 = 821,490/x
  3. Step 3: Cross multiply
    375,170x = 821,490 × 821,490
  4. Step 4: Simplify right side
    375,170x = 674,845,820,100
  5. Step 5: Solve for x
    x = 674,845,820,100/375,170
  6. Step 6: Final answer
    x = 1,798,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.