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Finding the Third Proportional to 820,505 and 1,241,693

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Solution

The third proportional to 820,505 and 1,241,693 is: 1,879,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,505 : 1,241,693 = 1,241,693 : x
  2. Step 2: Convert to fraction form
    820,505/1,241,693 = 1,241,693/x
  3. Step 3: Cross multiply
    820,505x = 1,241,693 × 1,241,693
  4. Step 4: Simplify right side
    820,505x = 1,541,801,506,249
  5. Step 5: Solve for x
    x = 1,541,801,506,249/820,505
  6. Step 6: Final answer
    x = 1,879,088.50

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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.