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Finding the Third Proportional to 387,072 and 616,320

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Solution

The third proportional to 387,072 and 616,320 is: 981,342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,072 : 616,320 = 616,320 : x
  2. Step 2: Convert to fraction form
    387,072/616,320 = 616,320/x
  3. Step 3: Cross multiply
    387,072x = 616,320 × 616,320
  4. Step 4: Simplify right side
    387,072x = 379,850,342,400
  5. Step 5: Solve for x
    x = 379,850,342,400/387,072
  6. Step 6: Final answer
    x = 981,342.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.