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Finding the Third Proportional to 809,978 and 1,287,307

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Solution

The third proportional to 809,978 and 1,287,307 is: 2,045,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,978 : 1,287,307 = 1,287,307 : x
  2. Step 2: Convert to fraction form
    809,978/1,287,307 = 1,287,307/x
  3. Step 3: Cross multiply
    809,978x = 1,287,307 × 1,287,307
  4. Step 4: Simplify right side
    809,978x = 1,657,159,312,249
  5. Step 5: Solve for x
    x = 1,657,159,312,249/809,978
  6. Step 6: Final answer
    x = 2,045,931.26

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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.