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Finding the Third Proportional to 286,530.75 and 617,085

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Solution

The third proportional to 286,530.75 and 617,085 is: 1,328,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,530.75 : 617,085 = 617,085 : x
  2. Step 2: Convert to fraction form
    286,530.75/617,085 = 617,085/x
  3. Step 3: Cross multiply
    286,530.75x = 617,085 × 617,085
  4. Step 4: Simplify right side
    286,530.75x = 380,793,897,225
  5. Step 5: Solve for x
    x = 380,793,897,225/286,530.75
  6. Step 6: Final answer
    x = 1,328,980.91

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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.