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Finding the Third Proportional to 211,304 and 310,489

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Solution

The third proportional to 211,304 and 310,489 is: 456,230.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,304 : 310,489 = 310,489 : x
  2. Step 2: Convert to fraction form
    211,304/310,489 = 310,489/x
  3. Step 3: Cross multiply
    211,304x = 310,489 × 310,489
  4. Step 4: Simplify right side
    211,304x = 96,403,419,121
  5. Step 5: Solve for x
    x = 96,403,419,121/211,304
  6. Step 6: Final answer
    x = 456,230.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.