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Finding the Third Proportional to 280,672 and 612,130

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Solution

The third proportional to 280,672 and 612,130 is: 1,335,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,672 : 612,130 = 612,130 : x
  2. Step 2: Convert to fraction form
    280,672/612,130 = 612,130/x
  3. Step 3: Cross multiply
    280,672x = 612,130 × 612,130
  4. Step 4: Simplify right side
    280,672x = 374,703,136,900
  5. Step 5: Solve for x
    x = 374,703,136,900/280,672
  6. Step 6: Final answer
    x = 1,335,021.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.