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Finding the Third Proportional to 211,572 and 309,252.94

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Solution

The third proportional to 211,572 and 309,252.94 is: 452,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,572 : 309,252.94 = 309,252.94 : x
  2. Step 2: Convert to fraction form
    211,572/309,252.94 = 309,252.94/x
  3. Step 3: Cross multiply
    211,572x = 309,252.94 × 309,252.94
  4. Step 4: Simplify right side
    211,572x = 95,637,379,352.38
  5. Step 5: Solve for x
    x = 95,637,379,352.38/211,572
  6. Step 6: Final answer
    x = 452,032.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.