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Finding the Third Proportional to 215,823.50 and 319,548.50

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Solution

The third proportional to 215,823.50 and 319,548.50 is: 473,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,823.50 : 319,548.50 = 319,548.50 : x
  2. Step 2: Convert to fraction form
    215,823.50/319,548.50 = 319,548.50/x
  3. Step 3: Cross multiply
    215,823.50x = 319,548.50 × 319,548.50
  4. Step 4: Simplify right side
    215,823.50x = 102,111,243,852.25
  5. Step 5: Solve for x
    x = 102,111,243,852.25/215,823.50
  6. Step 6: Final answer
    x = 473,123.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.