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Finding the Third Proportional to 211,054.50 and 316,215

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Solution

The third proportional to 211,054.50 and 316,215 is: 473,773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,054.50 : 316,215 = 316,215 : x
  2. Step 2: Convert to fraction form
    211,054.50/316,215 = 316,215/x
  3. Step 3: Cross multiply
    211,054.50x = 316,215 × 316,215
  4. Step 4: Simplify right side
    211,054.50x = 99,991,926,225
  5. Step 5: Solve for x
    x = 99,991,926,225/211,054.50
  6. Step 6: Final answer
    x = 473,773.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.