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Finding the Third Proportional to 261,123.75 and 415,013.63

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Solution

The third proportional to 261,123.75 and 415,013.63 is: 659,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,123.75 : 415,013.63 = 415,013.63 : x
  2. Step 2: Convert to fraction form
    261,123.75/415,013.63 = 415,013.63/x
  3. Step 3: Cross multiply
    261,123.75x = 415,013.63 × 415,013.63
  4. Step 4: Simplify right side
    261,123.75x = 172,236,308,935.64
  5. Step 5: Solve for x
    x = 172,236,308,935.64/261,123.75
  6. Step 6: Final answer
    x = 659,596.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.