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Finding the Third Proportional to 388,763.63 and 580,147.13

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Solution

The third proportional to 388,763.63 and 580,147.13 is: 865,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,763.63 : 580,147.13 = 580,147.13 : x
  2. Step 2: Convert to fraction form
    388,763.63/580,147.13 = 580,147.13/x
  3. Step 3: Cross multiply
    388,763.63x = 580,147.13 × 580,147.13
  4. Step 4: Simplify right side
    388,763.63x = 336,570,686,645.77
  5. Step 5: Solve for x
    x = 336,570,686,645.77/388,763.63
  6. Step 6: Final answer
    x = 865,746.34

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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.