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Finding the Third Proportional to 148,458 and 311,504

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Solution

The third proportional to 148,458 and 311,504 is: 653,617.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,458 : 311,504 = 311,504 : x
  2. Step 2: Convert to fraction form
    148,458/311,504 = 311,504/x
  3. Step 3: Cross multiply
    148,458x = 311,504 × 311,504
  4. Step 4: Simplify right side
    148,458x = 97,034,742,016
  5. Step 5: Solve for x
    x = 97,034,742,016/148,458
  6. Step 6: Final answer
    x = 653,617.47

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.