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Finding the Third Proportional to 286,153 and 616,590

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Solution

The third proportional to 286,153 and 616,590 is: 1,328,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,153 : 616,590 = 616,590 : x
  2. Step 2: Convert to fraction form
    286,153/616,590 = 616,590/x
  3. Step 3: Cross multiply
    286,153x = 616,590 × 616,590
  4. Step 4: Simplify right side
    286,153x = 380,183,228,100
  5. Step 5: Solve for x
    x = 380,183,228,100/286,153
  6. Step 6: Final answer
    x = 1,328,601.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.