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Finding the Third Proportional to 155,255.75 and 316,221

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Solution

The third proportional to 155,255.75 and 316,221 is: 644,070.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,255.75 : 316,221 = 316,221 : x
  2. Step 2: Convert to fraction form
    155,255.75/316,221 = 316,221/x
  3. Step 3: Cross multiply
    155,255.75x = 316,221 × 316,221
  4. Step 4: Simplify right side
    155,255.75x = 99,995,720,841
  5. Step 5: Solve for x
    x = 99,995,720,841/155,255.75
  6. Step 6: Final answer
    x = 644,070.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.