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Finding the Third Proportional to 290,782 and 616,778

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Solution

The third proportional to 290,782 and 616,778 is: 1,308,248.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,782 : 616,778 = 616,778 : x
  2. Step 2: Convert to fraction form
    290,782/616,778 = 616,778/x
  3. Step 3: Cross multiply
    290,782x = 616,778 × 616,778
  4. Step 4: Simplify right side
    290,782x = 380,415,101,284
  5. Step 5: Solve for x
    x = 380,415,101,284/290,782
  6. Step 6: Final answer
    x = 1,308,248.45

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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.