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Finding the Third Proportional to 230,154 and 310,955

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Solution

The third proportional to 230,154 and 310,955 is: 420,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,154 : 310,955 = 310,955 : x
  2. Step 2: Convert to fraction form
    230,154/310,955 = 310,955/x
  3. Step 3: Cross multiply
    230,154x = 310,955 × 310,955
  4. Step 4: Simplify right side
    230,154x = 96,693,012,025
  5. Step 5: Solve for x
    x = 96,693,012,025/230,154
  6. Step 6: Final answer
    x = 420,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.