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Finding the Third Proportional to 218,715 and 316,083

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Solution

The third proportional to 218,715 and 316,083 is: 456,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,715 : 316,083 = 316,083 : x
  2. Step 2: Convert to fraction form
    218,715/316,083 = 316,083/x
  3. Step 3: Cross multiply
    218,715x = 316,083 × 316,083
  4. Step 4: Simplify right side
    218,715x = 99,908,462,889
  5. Step 5: Solve for x
    x = 99,908,462,889/218,715
  6. Step 6: Final answer
    x = 456,797.49

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.