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Finding the Third Proportional to 210,966.75 and 429,765.75

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Solution

The third proportional to 210,966.75 and 429,765.75 is: 875,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,966.75 : 429,765.75 = 429,765.75 : x
  2. Step 2: Convert to fraction form
    210,966.75/429,765.75 = 429,765.75/x
  3. Step 3: Cross multiply
    210,966.75x = 429,765.75 × 429,765.75
  4. Step 4: Simplify right side
    210,966.75x = 184,698,599,873.06
  5. Step 5: Solve for x
    x = 184,698,599,873.06/210,966.75
  6. Step 6: Final answer
    x = 875,486.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.