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Finding the Third Proportional to 298,070 and 450,957

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Solution

The third proportional to 298,070 and 450,957 is: 682,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,070 : 450,957 = 450,957 : x
  2. Step 2: Convert to fraction form
    298,070/450,957 = 450,957/x
  3. Step 3: Cross multiply
    298,070x = 450,957 × 450,957
  4. Step 4: Simplify right side
    298,070x = 203,362,215,849
  5. Step 5: Solve for x
    x = 203,362,215,849/298,070
  6. Step 6: Final answer
    x = 682,263.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.