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Finding the Third Proportional to 290,774 and 616,724

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Solution

The third proportional to 290,774 and 616,724 is: 1,308,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,774 : 616,724 = 616,724 : x
  2. Step 2: Convert to fraction form
    290,774/616,724 = 616,724/x
  3. Step 3: Cross multiply
    290,774x = 616,724 × 616,724
  4. Step 4: Simplify right side
    290,774x = 380,348,492,176
  5. Step 5: Solve for x
    x = 380,348,492,176/290,774
  6. Step 6: Final answer
    x = 1,308,055.37

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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.