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Finding the Third Proportional to 211,196 and 429,729

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Solution

The third proportional to 211,196 and 429,729 is: 874,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,196 : 429,729 = 429,729 : x
  2. Step 2: Convert to fraction form
    211,196/429,729 = 429,729/x
  3. Step 3: Cross multiply
    211,196x = 429,729 × 429,729
  4. Step 4: Simplify right side
    211,196x = 184,667,013,441
  5. Step 5: Solve for x
    x = 184,667,013,441/211,196
  6. Step 6: Final answer
    x = 874,386.89

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.