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Finding the Third Proportional to 310,619 and 490,957

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Solution

The third proportional to 310,619 and 490,957 is: 775,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,619 : 490,957 = 490,957 : x
  2. Step 2: Convert to fraction form
    310,619/490,957 = 490,957/x
  3. Step 3: Cross multiply
    310,619x = 490,957 × 490,957
  4. Step 4: Simplify right side
    310,619x = 241,038,775,849
  5. Step 5: Solve for x
    x = 241,038,775,849/310,619
  6. Step 6: Final answer
    x = 775,994.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.