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Finding the Third Proportional to 118,509.75 and 258,322.50

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Solution

The third proportional to 118,509.75 and 258,322.50 is: 563,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,509.75 : 258,322.50 = 258,322.50 : x
  2. Step 2: Convert to fraction form
    118,509.75/258,322.50 = 258,322.50/x
  3. Step 3: Cross multiply
    118,509.75x = 258,322.50 × 258,322.50
  4. Step 4: Simplify right side
    118,509.75x = 66,730,514,006.25
  5. Step 5: Solve for x
    x = 66,730,514,006.25/118,509.75
  6. Step 6: Final answer
    x = 563,080.37

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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.