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Finding the Third Proportional to 291,316.50 and 393,591

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Solution

The third proportional to 291,316.50 and 393,591 is: 531,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,316.50 : 393,591 = 393,591 : x
  2. Step 2: Convert to fraction form
    291,316.50/393,591 = 393,591/x
  3. Step 3: Cross multiply
    291,316.50x = 393,591 × 393,591
  4. Step 4: Simplify right side
    291,316.50x = 154,913,875,281
  5. Step 5: Solve for x
    x = 154,913,875,281/291,316.50
  6. Step 6: Final answer
    x = 531,771.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.