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Finding the Third Proportional to 118,310.63 and 258,305.20

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Solution

The third proportional to 118,310.63 and 258,305.20 is: 563,952.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,310.63 : 258,305.20 = 258,305.20 : x
  2. Step 2: Convert to fraction form
    118,310.63/258,305.20 = 258,305.20/x
  3. Step 3: Cross multiply
    118,310.63x = 258,305.20 × 258,305.20
  4. Step 4: Simplify right side
    118,310.63x = 66,721,577,961.45
  5. Step 5: Solve for x
    x = 66,721,577,961.45/118,310.63
  6. Step 6: Final answer
    x = 563,952.54

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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.