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Finding the Third Proportional to 200,947 and 429,531

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Solution

The third proportional to 200,947 and 429,531 is: 918,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947 : 429,531 = 429,531 : x
  2. Step 2: Convert to fraction form
    200,947/429,531 = 429,531/x
  3. Step 3: Cross multiply
    200,947x = 429,531 × 429,531
  4. Step 4: Simplify right side
    200,947x = 184,496,879,961
  5. Step 5: Solve for x
    x = 184,496,879,961/200,947
  6. Step 6: Final answer
    x = 918,137.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.