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Finding the Third Proportional to 100,523 and 209,312

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Solution

The third proportional to 100,523 and 209,312 is: 435,835.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,523 : 209,312 = 209,312 : x
  2. Step 2: Convert to fraction form
    100,523/209,312 = 209,312/x
  3. Step 3: Cross multiply
    100,523x = 209,312 × 209,312
  4. Step 4: Simplify right side
    100,523x = 43,811,513,344
  5. Step 5: Solve for x
    x = 43,811,513,344/100,523
  6. Step 6: Final answer
    x = 435,835.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.