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Finding the Third Proportional to 255,513 and 372,177.50

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Solution

The third proportional to 255,513 and 372,177.50 is: 542,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,513 : 372,177.50 = 372,177.50 : x
  2. Step 2: Convert to fraction form
    255,513/372,177.50 = 372,177.50/x
  3. Step 3: Cross multiply
    255,513x = 372,177.50 × 372,177.50
  4. Step 4: Simplify right side
    255,513x = 138,516,091,506.25
  5. Step 5: Solve for x
    x = 138,516,091,506.25/255,513
  6. Step 6: Final answer
    x = 542,109.76

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.