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Finding the Third Proportional to 285,314 and 616,708

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Solution

The third proportional to 285,314 and 616,708 is: 1,333,018.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,314 : 616,708 = 616,708 : x
  2. Step 2: Convert to fraction form
    285,314/616,708 = 616,708/x
  3. Step 3: Cross multiply
    285,314x = 616,708 × 616,708
  4. Step 4: Simplify right side
    285,314x = 380,328,757,264
  5. Step 5: Solve for x
    x = 380,328,757,264/285,314
  6. Step 6: Final answer
    x = 1,333,018.21

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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.