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Finding the Third Proportional to 374,154 and 820,746

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Solution

The third proportional to 374,154 and 820,746 is: 1,800,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,154 : 820,746 = 820,746 : x
  2. Step 2: Convert to fraction form
    374,154/820,746 = 820,746/x
  3. Step 3: Cross multiply
    374,154x = 820,746 × 820,746
  4. Step 4: Simplify right side
    374,154x = 673,623,996,516
  5. Step 5: Solve for x
    x = 673,623,996,516/374,154
  6. Step 6: Final answer
    x = 1,800,392.34

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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.