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Finding the Third Proportional to 289,252 and 675,770

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Solution

The third proportional to 289,252 and 675,770 is: 1,578,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,252 : 675,770 = 675,770 : x
  2. Step 2: Convert to fraction form
    289,252/675,770 = 675,770/x
  3. Step 3: Cross multiply
    289,252x = 675,770 × 675,770
  4. Step 4: Simplify right side
    289,252x = 456,665,092,900
  5. Step 5: Solve for x
    x = 456,665,092,900/289,252
  6. Step 6: Final answer
    x = 1,578,779.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.