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Finding the Third Proportional to 129,114 and 278,623

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Solution

The third proportional to 129,114 and 278,623 is: 601,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,114 : 278,623 = 278,623 : x
  2. Step 2: Convert to fraction form
    129,114/278,623 = 278,623/x
  3. Step 3: Cross multiply
    129,114x = 278,623 × 278,623
  4. Step 4: Simplify right side
    129,114x = 77,630,776,129
  5. Step 5: Solve for x
    x = 77,630,776,129/129,114
  6. Step 6: Final answer
    x = 601,257.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.