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Finding the Third Proportional to 138,440 and 302,503

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Solution

The third proportional to 138,440 and 302,503 is: 660,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,440 : 302,503 = 302,503 : x
  2. Step 2: Convert to fraction form
    138,440/302,503 = 302,503/x
  3. Step 3: Cross multiply
    138,440x = 302,503 × 302,503
  4. Step 4: Simplify right side
    138,440x = 91,508,065,009
  5. Step 5: Solve for x
    x = 91,508,065,009/138,440
  6. Step 6: Final answer
    x = 660,994.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.