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Finding the Third Proportional to 255,985.50 and 558,555

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Solution

The third proportional to 255,985.50 and 558,555 is: 1,218,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,985.50 : 558,555 = 558,555 : x
  2. Step 2: Convert to fraction form
    255,985.50/558,555 = 558,555/x
  3. Step 3: Cross multiply
    255,985.50x = 558,555 × 558,555
  4. Step 4: Simplify right side
    255,985.50x = 311,983,688,025
  5. Step 5: Solve for x
    x = 311,983,688,025/255,985.50
  6. Step 6: Final answer
    x = 1,218,755.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.