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Finding the Third Proportional to 129,492 and 280,590.75

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Solution

The third proportional to 129,492 and 280,590.75 is: 608,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,492 : 280,590.75 = 280,590.75 : x
  2. Step 2: Convert to fraction form
    129,492/280,590.75 = 280,590.75/x
  3. Step 3: Cross multiply
    129,492x = 280,590.75 × 280,590.75
  4. Step 4: Simplify right side
    129,492x = 78,731,168,985.56
  5. Step 5: Solve for x
    x = 78,731,168,985.56/129,492
  6. Step 6: Final answer
    x = 608,000.25

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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.