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Finding the Third Proportional to 318,417.75 and 432,669.94

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Solution

The third proportional to 318,417.75 and 432,669.94 is: 587,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,417.75 : 432,669.94 = 432,669.94 : x
  2. Step 2: Convert to fraction form
    318,417.75/432,669.94 = 432,669.94/x
  3. Step 3: Cross multiply
    318,417.75x = 432,669.94 × 432,669.94
  4. Step 4: Simplify right side
    318,417.75x = 187,203,274,816.25
  5. Step 5: Solve for x
    x = 187,203,274,816.25/318,417.75
  6. Step 6: Final answer
    x = 587,917.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.