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Finding the Third Proportional to 157,816 and 216,958

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Solution

The third proportional to 157,816 and 216,958 is: 298,263.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,816 : 216,958 = 216,958 : x
  2. Step 2: Convert to fraction form
    157,816/216,958 = 216,958/x
  3. Step 3: Cross multiply
    157,816x = 216,958 × 216,958
  4. Step 4: Simplify right side
    157,816x = 47,070,773,764
  5. Step 5: Solve for x
    x = 47,070,773,764/157,816
  6. Step 6: Final answer
    x = 298,263.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.