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Finding the Third Proportional to 128,200 and 278,032

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Solution

The third proportional to 128,200 and 278,032 is: 602,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,200 : 278,032 = 278,032 : x
  2. Step 2: Convert to fraction form
    128,200/278,032 = 278,032/x
  3. Step 3: Cross multiply
    128,200x = 278,032 × 278,032
  4. Step 4: Simplify right side
    128,200x = 77,301,793,024
  5. Step 5: Solve for x
    x = 77,301,793,024/128,200
  6. Step 6: Final answer
    x = 602,978.10

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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.