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Finding the Third Proportional to 230,124 and 310,913

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Solution

The third proportional to 230,124 and 310,913 is: 420,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,124 : 310,913 = 310,913 : x
  2. Step 2: Convert to fraction form
    230,124/310,913 = 310,913/x
  3. Step 3: Cross multiply
    230,124x = 310,913 × 310,913
  4. Step 4: Simplify right side
    230,124x = 96,666,893,569
  5. Step 5: Solve for x
    x = 96,666,893,569/230,124
  6. Step 6: Final answer
    x = 420,064.37

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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.