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Finding the Third Proportional to 315,657 and 490,617

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Solution

The third proportional to 315,657 and 490,617 is: 762,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,657 : 490,617 = 490,617 : x
  2. Step 2: Convert to fraction form
    315,657/490,617 = 490,617/x
  3. Step 3: Cross multiply
    315,657x = 490,617 × 490,617
  4. Step 4: Simplify right side
    315,657x = 240,705,040,689
  5. Step 5: Solve for x
    x = 240,705,040,689/315,657
  6. Step 6: Final answer
    x = 762,552.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.