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Finding the Third Proportional to 387,083 and 616,337

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Solution

The third proportional to 387,083 and 616,337 is: 981,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,083 : 616,337 = 616,337 : x
  2. Step 2: Convert to fraction form
    387,083/616,337 = 616,337/x
  3. Step 3: Cross multiply
    387,083x = 616,337 × 616,337
  4. Step 4: Simplify right side
    387,083x = 379,871,297,569
  5. Step 5: Solve for x
    x = 379,871,297,569/387,083
  6. Step 6: Final answer
    x = 981,369.11

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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.