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Finding the Third Proportional to 155,712.75 and 340,502.25

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Solution

The third proportional to 155,712.75 and 340,502.25 is: 744,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,712.75 : 340,502.25 = 340,502.25 : x
  2. Step 2: Convert to fraction form
    155,712.75/340,502.25 = 340,502.25/x
  3. Step 3: Cross multiply
    155,712.75x = 340,502.25 × 340,502.25
  4. Step 4: Simplify right side
    155,712.75x = 115,941,782,255.06
  5. Step 5: Solve for x
    x = 115,941,782,255.06/155,712.75
  6. Step 6: Final answer
    x = 744,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.