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Finding the Third Proportional to 211,688.75 and 456,614.50

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Solution

The third proportional to 211,688.75 and 456,614.50 is: 984,921.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,688.75 : 456,614.50 = 456,614.50 : x
  2. Step 2: Convert to fraction form
    211,688.75/456,614.50 = 456,614.50/x
  3. Step 3: Cross multiply
    211,688.75x = 456,614.50 × 456,614.50
  4. Step 4: Simplify right side
    211,688.75x = 208,496,801,610.25
  5. Step 5: Solve for x
    x = 208,496,801,610.25/211,688.75
  6. Step 6: Final answer
    x = 984,921.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.