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Finding the Third Proportional to 211,528.13 and 319,084.31

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Solution

The third proportional to 211,528.13 and 319,084.31 is: 481,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,528.13 : 319,084.31 = 319,084.31 : x
  2. Step 2: Convert to fraction form
    211,528.13/319,084.31 = 319,084.31/x
  3. Step 3: Cross multiply
    211,528.13x = 319,084.31 × 319,084.31
  4. Step 4: Simplify right side
    211,528.13x = 101,814,798,483.60
  5. Step 5: Solve for x
    x = 101,814,798,483.60/211,528.13
  6. Step 6: Final answer
    x = 481,329.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.