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Finding the Third Proportional to 155,256 and 240,471

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Solution

The third proportional to 155,256 and 240,471 is: 372,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,256 : 240,471 = 240,471 : x
  2. Step 2: Convert to fraction form
    155,256/240,471 = 240,471/x
  3. Step 3: Cross multiply
    155,256x = 240,471 × 240,471
  4. Step 4: Simplify right side
    155,256x = 57,826,301,841
  5. Step 5: Solve for x
    x = 57,826,301,841/155,256
  6. Step 6: Final answer
    x = 372,457.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.