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Finding the Third Proportional to 109,417.50 and 257,613.75

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Solution

The third proportional to 109,417.50 and 257,613.75 is: 606,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,417.50 : 257,613.75 = 257,613.75 : x
  2. Step 2: Convert to fraction form
    109,417.50/257,613.75 = 257,613.75/x
  3. Step 3: Cross multiply
    109,417.50x = 257,613.75 × 257,613.75
  4. Step 4: Simplify right side
    109,417.50x = 66,364,844,189.06
  5. Step 5: Solve for x
    x = 66,364,844,189.06/109,417.50
  6. Step 6: Final answer
    x = 606,528.61

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.