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Finding the Third Proportional to 211,230 and 432,301

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Solution

The third proportional to 211,230 and 432,301 is: 884,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,230 : 432,301 = 432,301 : x
  2. Step 2: Convert to fraction form
    211,230/432,301 = 432,301/x
  3. Step 3: Cross multiply
    211,230x = 432,301 × 432,301
  4. Step 4: Simplify right side
    211,230x = 186,884,154,601
  5. Step 5: Solve for x
    x = 186,884,154,601/211,230
  6. Step 6: Final answer
    x = 884,742.48

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.