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Finding the Third Proportional to 375,636 and 822,440

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Solution

The third proportional to 375,636 and 822,440 is: 1,800,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,636 : 822,440 = 822,440 : x
  2. Step 2: Convert to fraction form
    375,636/822,440 = 822,440/x
  3. Step 3: Cross multiply
    375,636x = 822,440 × 822,440
  4. Step 4: Simplify right side
    375,636x = 676,407,553,600
  5. Step 5: Solve for x
    x = 676,407,553,600/375,636
  6. Step 6: Final answer
    x = 1,800,699.49

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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.