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Finding the Third Proportional to 286,020 and 616,374

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Solution

The third proportional to 286,020 and 616,374 is: 1,328,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,020 : 616,374 = 616,374 : x
  2. Step 2: Convert to fraction form
    286,020/616,374 = 616,374/x
  3. Step 3: Cross multiply
    286,020x = 616,374 × 616,374
  4. Step 4: Simplify right side
    286,020x = 379,916,907,876
  5. Step 5: Solve for x
    x = 379,916,907,876/286,020
  6. Step 6: Final answer
    x = 1,328,287.91

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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.