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Finding the Third Proportional to 305,402.59 and 657,629.19

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Solution

The third proportional to 305,402.59 and 657,629.19 is: 1,416,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,402.59 : 657,629.19 = 657,629.19 : x
  2. Step 2: Convert to fraction form
    305,402.59/657,629.19 = 657,629.19/x
  3. Step 3: Cross multiply
    305,402.59x = 657,629.19 × 657,629.19
  4. Step 4: Simplify right side
    305,402.59x = 432,476,153,389.68
  5. Step 5: Solve for x
    x = 432,476,153,389.68/305,402.59
  6. Step 6: Final answer
    x = 1,416,085.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.