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Finding the Third Proportional to 211,095 and 315,588.94

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Solution

The third proportional to 211,095 and 315,588.94 is: 471,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,095 : 315,588.94 = 315,588.94 : x
  2. Step 2: Convert to fraction form
    211,095/315,588.94 = 315,588.94/x
  3. Step 3: Cross multiply
    211,095x = 315,588.94 × 315,588.94
  4. Step 4: Simplify right side
    211,095x = 99,596,377,472.38
  5. Step 5: Solve for x
    x = 99,596,377,472.38/211,095
  6. Step 6: Final answer
    x = 471,808.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.