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Finding the Third Proportional to 282,988 and 616,520

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Solution

The third proportional to 282,988 and 616,520 is: 1,343,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,988 : 616,520 = 616,520 : x
  2. Step 2: Convert to fraction form
    282,988/616,520 = 616,520/x
  3. Step 3: Cross multiply
    282,988x = 616,520 × 616,520
  4. Step 4: Simplify right side
    282,988x = 380,096,910,400
  5. Step 5: Solve for x
    x = 380,096,910,400/282,988
  6. Step 6: Final answer
    x = 1,343,155.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.