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Finding the Third Proportional to 374,146 and 820,729

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Solution

The third proportional to 374,146 and 820,729 is: 1,800,356.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,146 : 820,729 = 820,729 : x
  2. Step 2: Convert to fraction form
    374,146/820,729 = 820,729/x
  3. Step 3: Cross multiply
    374,146x = 820,729 × 820,729
  4. Step 4: Simplify right side
    374,146x = 673,596,091,441
  5. Step 5: Solve for x
    x = 673,596,091,441/374,146
  6. Step 6: Final answer
    x = 1,800,356.26

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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.