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Finding the Third Proportional to 215,076 and 330,042

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Solution

The third proportional to 215,076 and 330,042 is: 506,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,076 : 330,042 = 330,042 : x
  2. Step 2: Convert to fraction form
    215,076/330,042 = 330,042/x
  3. Step 3: Cross multiply
    215,076x = 330,042 × 330,042
  4. Step 4: Simplify right side
    215,076x = 108,927,721,764
  5. Step 5: Solve for x
    x = 108,927,721,764/215,076
  6. Step 6: Final answer
    x = 506,461.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.