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Finding the Third Proportional to 388,751.63 and 580,129.13

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Solution

The third proportional to 388,751.63 and 580,129.13 is: 865,719.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,751.63 : 580,129.13 = 580,129.13 : x
  2. Step 2: Convert to fraction form
    388,751.63/580,129.13 = 580,129.13/x
  3. Step 3: Cross multiply
    388,751.63x = 580,129.13 × 580,129.13
  4. Step 4: Simplify right side
    388,751.63x = 336,549,801,673.27
  5. Step 5: Solve for x
    x = 336,549,801,673.27/388,751.63
  6. Step 6: Final answer
    x = 865,719.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.