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Finding the Third Proportional to 421,665.75 and 903,595.50

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Solution

The third proportional to 421,665.75 and 903,595.50 is: 1,936,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,665.75 : 903,595.50 = 903,595.50 : x
  2. Step 2: Convert to fraction form
    421,665.75/903,595.50 = 903,595.50/x
  3. Step 3: Cross multiply
    421,665.75x = 903,595.50 × 903,595.50
  4. Step 4: Simplify right side
    421,665.75x = 816,484,827,620.25
  5. Step 5: Solve for x
    x = 816,484,827,620.25/421,665.75
  6. Step 6: Final answer
    x = 1,936,331.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.