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Finding the Third Proportional to 788,970 and 1,281,817

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Solution

The third proportional to 788,970 and 1,281,817 is: 2,082,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,970 : 1,281,817 = 1,281,817 : x
  2. Step 2: Convert to fraction form
    788,970/1,281,817 = 1,281,817/x
  3. Step 3: Cross multiply
    788,970x = 1,281,817 × 1,281,817
  4. Step 4: Simplify right side
    788,970x = 1,643,054,821,489
  5. Step 5: Solve for x
    x = 1,643,054,821,489/788,970
  6. Step 6: Final answer
    x = 2,082,531.43

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.