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Finding the Third Proportional to 729,699 and 1,567,289

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Solution

The third proportional to 729,699 and 1,567,289 is: 3,366,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,699 : 1,567,289 = 1,567,289 : x
  2. Step 2: Convert to fraction form
    729,699/1,567,289 = 1,567,289/x
  3. Step 3: Cross multiply
    729,699x = 1,567,289 × 1,567,289
  4. Step 4: Simplify right side
    729,699x = 2,456,394,809,521
  5. Step 5: Solve for x
    x = 2,456,394,809,521/729,699
  6. Step 6: Final answer
    x = 3,366,312.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.