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Finding the Third Proportional to 129,585 and 211,602

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Solution

The third proportional to 129,585 and 211,602 is: 345,529.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585 : 211,602 = 211,602 : x
  2. Step 2: Convert to fraction form
    129,585/211,602 = 211,602/x
  3. Step 3: Cross multiply
    129,585x = 211,602 × 211,602
  4. Step 4: Simplify right side
    129,585x = 44,775,406,404
  5. Step 5: Solve for x
    x = 44,775,406,404/129,585
  6. Step 6: Final answer
    x = 345,529.24

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.