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Finding the Third Proportional to 290,751 and 616,731

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Solution

The third proportional to 290,751 and 616,731 is: 1,308,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,751 : 616,731 = 616,731 : x
  2. Step 2: Convert to fraction form
    290,751/616,731 = 616,731/x
  3. Step 3: Cross multiply
    290,751x = 616,731 × 616,731
  4. Step 4: Simplify right side
    290,751x = 380,357,126,361
  5. Step 5: Solve for x
    x = 380,357,126,361/290,751
  6. Step 6: Final answer
    x = 1,308,188.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.