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Finding the Third Proportional to 820,358 and 1,241,871

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Solution

The third proportional to 820,358 and 1,241,871 is: 1,879,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,358 : 1,241,871 = 1,241,871 : x
  2. Step 2: Convert to fraction form
    820,358/1,241,871 = 1,241,871/x
  3. Step 3: Cross multiply
    820,358x = 1,241,871 × 1,241,871
  4. Step 4: Simplify right side
    820,358x = 1,542,243,580,641
  5. Step 5: Solve for x
    x = 1,542,243,580,641/820,358
  6. Step 6: Final answer
    x = 1,879,964.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.