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Finding the Third Proportional to 250,778.25 and 388,742.63

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Solution

The third proportional to 250,778.25 and 388,742.63 is: 602,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,778.25 : 388,742.63 = 388,742.63 : x
  2. Step 2: Convert to fraction form
    250,778.25/388,742.63 = 388,742.63/x
  3. Step 3: Cross multiply
    250,778.25x = 388,742.63 × 388,742.63
  4. Step 4: Simplify right side
    250,778.25x = 151,120,828,491.89
  5. Step 5: Solve for x
    x = 151,120,828,491.89/250,778.25
  6. Step 6: Final answer
    x = 602,607.40

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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.