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Finding the Third Proportional to 286,175 and 616,981

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Solution

The third proportional to 286,175 and 616,981 is: 1,330,184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,175 : 616,981 = 616,981 : x
  2. Step 2: Convert to fraction form
    286,175/616,981 = 616,981/x
  3. Step 3: Cross multiply
    286,175x = 616,981 × 616,981
  4. Step 4: Simplify right side
    286,175x = 380,665,554,361
  5. Step 5: Solve for x
    x = 380,665,554,361/286,175
  6. Step 6: Final answer
    x = 1,330,184.52

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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.