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Finding the Third Proportional to 821,057 and 1,307,473

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Solution

The third proportional to 821,057 and 1,307,473 is: 2,082,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,057 : 1,307,473 = 1,307,473 : x
  2. Step 2: Convert to fraction form
    821,057/1,307,473 = 1,307,473/x
  3. Step 3: Cross multiply
    821,057x = 1,307,473 × 1,307,473
  4. Step 4: Simplify right side
    821,057x = 1,709,485,645,729
  5. Step 5: Solve for x
    x = 1,709,485,645,729/821,057
  6. Step 6: Final answer
    x = 2,082,054.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.