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Finding the Third Proportional to 128,202 and 278,036

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Solution

The third proportional to 128,202 and 278,036 is: 602,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,202 : 278,036 = 278,036 : x
  2. Step 2: Convert to fraction form
    128,202/278,036 = 278,036/x
  3. Step 3: Cross multiply
    128,202x = 278,036 × 278,036
  4. Step 4: Simplify right side
    128,202x = 77,304,017,296
  5. Step 5: Solve for x
    x = 77,304,017,296/128,202
  6. Step 6: Final answer
    x = 602,986.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.