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Finding the Third Proportional to 264,459.75 and 391,131

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Solution

The third proportional to 264,459.75 and 391,131 is: 578,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,459.75 : 391,131 = 391,131 : x
  2. Step 2: Convert to fraction form
    264,459.75/391,131 = 391,131/x
  3. Step 3: Cross multiply
    264,459.75x = 391,131 × 391,131
  4. Step 4: Simplify right side
    264,459.75x = 152,983,459,161
  5. Step 5: Solve for x
    x = 152,983,459,161/264,459.75
  6. Step 6: Final answer
    x = 578,475.40

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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.