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Finding the Third Proportional to 285,764 and 610,897

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Solution

The third proportional to 285,764 and 610,897 is: 1,305,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,764 : 610,897 = 610,897 : x
  2. Step 2: Convert to fraction form
    285,764/610,897 = 610,897/x
  3. Step 3: Cross multiply
    285,764x = 610,897 × 610,897
  4. Step 4: Simplify right side
    285,764x = 373,195,144,609
  5. Step 5: Solve for x
    x = 373,195,144,609/285,764
  6. Step 6: Final answer
    x = 1,305,955.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.